Why we often leave radicals as roots without calculating them?

Answers

Answer 1

Answer:

Sometimes it's better to leave them as roots because it's easier sometimes to solve problems with them still as roots

Answer 2

Answer:

We choose to leave radicals as roots without calculating them because calculating the square roots of a non perfect squares result in an irrational, non terminating decimal.

Step-by-step explanation:

Why do we do Radicals in the first place?

Radicals are used to write the square root or the nth root of a number. We sometimes leave specific numbers (non-perfect squares) as a radical because the output would be infinity

Example:

[tex]\sqrt45[/tex] is not a perfect square, it lies between [tex]\sqrt36[/tex]  and [tex]\sqrt49[/tex]

This means the number lies in between 6 and 7

The true root of 45 is irrational. Recall that irrational numbers are numbers of non-perfect squares. [tex]\sqrt45[/tex] = 6.7082039.......

Simplify:

[tex]\sqrt 45 = \sqrt 9 * \sqrt 5\\[/tex]

[tex]= \sqrt3^2 * \sqrt 5\\\\ \\= 3\sqrt5[/tex]

We choose not to pursue simplifying this because  [tex]\sqrt5[/tex]  is irrational (square root of a non-perfect square)

Summary:

We choose to leave radicals as roots without calculating them because calculating the square roots of a non perfect squares result in an irrational, non terminating decimal.

-Chetan K


Related Questions

What is the property used and the solution 4.(-3).5

Answers

Answer:

60

Step-by-step explanation:

using the bodmas

multiply 4 by -3

then multiply with 5

Brainliest to the one that is 100% right
;)

Answers

Answer:

A is correct.

C. is correct.

D. is correct.

Step-by-step explanation:

A follows the commutative property, putting two fractions in parenthesis, and follows PEMDAS to simplify the answer.

B uses other random numbers and does NOT follow the property.

C follows the commutative property too.

D. also follows the property, same as A and C.

I hope this is a multiple choice question.

The total age of a cat, dog, monkey is 4 year 2 month. The dog is twice as old as the cat. The monkey is twice as old as the dog. How old is the monkey?

Answers

28 years

Step-by-step explanation:

Co-relating their ages:Let's say, the cat is x years old.

The dog is twice as old as the cat

That makes the dog 2x years old.

The monkey is twice as old as the dog.

That is, 2 × (2x) = 4x years old

- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -

Calculating the total:

Their total age is 4 years 2 months.

1 year has 12 months

=> 4 years have (4 × 12)

= 48 months

Since, the total age is 4 years 2 months, we can express it in "months" by adding "48" and "2".

= 50 months

- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -

Solving for x:

Sum of their ages = 50 months

=> x + 2x + 4x = 50

=> 7x = 50

=>x = 50/ 7 months

If we write this in mixed fractions the whole number will represent the number of years.

=

[tex] \mathsf{7 \frac{1}{7} \: \: months}[/tex]

[tex] = \mathsf{7 \: years \: \frac{1}{7} \: \: months}[/tex]

The value of 1/ 7 is really small,I.e., 0.1428...

So, we can ignore the fraction while rounding off the term that makes it

[tex] \mathsf{x = 7yrs.(approx.)}[/tex]

- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -

Recall:

x is the age of the cat.

The monkey's age is "4x"

= 4 × 7

= 28 years.

- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -

Answer:

So, the monkey's age is approximately 28 years

The cat is 7 and 2/6 of a month so the dog is one year two months and 4/6 of a month and the monkey is two years four months

1/2x - 1 = 4 whats the solution?

Answers

Answer:

To solve for x, isolate it from the other terms.

Add 1 to both sides.

1/2x - 1 + 1 = 4 + 1

Combine like terms.

1/2x = 5

Multiply both sides 2.

x = 5(2)

x = 10

The solution is 10.

Hope this helps! :)

please help!
Anita’s parents started a Harvard college fund the day she was born. They figured by the time
she was 18, she would need $80 000 to cover four years of post secondary tuition fees. How
much money would they need to deposit on an annual basis from birth to her 18 th birthday, to
achieve this goal? Use a rate of 7%/a compounded annually.

Answers

Answer:

320,000

Step-by-step explanation:

80,000$x 4 years == 320,000$


[tex]simplify : \: \sqrt{5(2 \frac{3}{4}) - \frac{3}{10} } .[/tex]
Who will answer they will get Today Brainliest.​

Answers

Answer:

Given that;

√[5{2(3/4)} - (3/10)]

⇛√[5{11/4 - 3/10}]

Take the LCM of 4 and 10 is 40.

⇛√[5{(55-6)/20}]

⇛√[5{(49/20)}]

⇛√(49/4)

⇛√(7²/2²)

⇛√(7/2)²

⇛√7*7/√2*2

⇛7/2 ≈ 3(1/2) or 3.5 Ans.

Hope this helps!!

A rectangular field is six times as long as it is wide. If the perimeter of the field is 1190 feet, what are the dimensions of the field?

A) Write an equation you can use to answer the given question. Let w be the width of the field. Do not solve the equation yet. The equation is _______

(Make sure you use the correct variable.)

B) Use your equation to find the dimensions of the field.

The width of the field is ____________ feet.

The length of the field is ____________ feet.

Answers

Let width be xLength=6x

ATQ

[tex]\\ \tt\longmapsto 2(x+6x)=1190[/tex]

[tex]\\ \tt\longmapsto 2(7x)=1190[/tex]

[tex]\\ \tt\longmapsto 7x=595[/tex]

[tex]\\ \tt\longmapsto x=595/7[/tex]

[tex]\\ \tt\longmapsto x=85[/tex]

Length=6(85)=510ftWidth=85ft

164 people need to ride the elevator to the top of a skyscraper. The elevator can hold 7 people at a time. How many people will be in the elevator on the last trip to the top?

Answers

Answer:

  3

Step-by-step explanation:

we know that 23x7=161

so there will be 3 people on the last trip to the top

3/2 (7/3x+1) = 3/2

Show work. (simple if possible)

Giving Brainliest.

Answers

Answer:

[tex]7/2x + 3/2 = 3/2 <=> x = 0[/tex]

Step-by-step explanation:

Determine the smallest integer value of x in the solution of the following inequality

Answers

Answer:

-2

Step-by-step explanation:

4x - 7 > -17

(add 7 on both sides)

4x > -10

(divide both sides by 4 to isolate x)

x > - 2.5

An integer can not be a fraction. So the smallest integer value x can be is -2 because -2 is greater than -2.5.

If Ricardo walks 6 miles in 101 minutes, then how far will Ricardo walk in 110 minutes?


Write answer as a integer or a reduced fraction.

Answers

Step-by-step explanation:

Given:

6 miles ⇒ 101 minutesx miles ⇒ 110 minutes

Find the values of x using proportions:

x = 6*110/101x = 660/101x = 6 54/101 miles

or

x = 6.53 miles

What number should be subtracted to -2/3 to get -1/6
Pls answer thissss

Answers

Answer:

-1/2

Step-by-step explanation:

2/3 becomes 4/6

4/6 to go to 1/6 is -3/6 or -1/2 (simplified)

-3/6 is the answer in order to get the -1/6 by subtracting -2/3 - -3/6

2 x 7 x 5 x 2 x ____=48

Answers

Answer:that is actually not correct

Step-by-step explanation:

2x 7 x 5 x 2 do nit equal 48 but they do equal 140

Answer:

-12/35

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

.In TIPS, the classroom of Grade 7A has a section of a field that measures 4 x 10 3 feet
by 5 x 105 feet. Another section Grade 7B is measuring 6 x 10 4 feet by 3 x 104 feet
(a)What is the area of the Grade 7A?
(b)What is the area of the Grade 7B?
(c)Which section has larger area? And how much is larger?

Answers

Answer:It's easy for us to visualize a meter; that's about 3 feet. ... nm (10-9 m) to 100 nanometers (100 x 10-9 = 10-7 m) and the unique properties that arise.

Step-by-step explanation:

Graph the linear equation.

y= -2/3x - 4​

Answers

Answer:

Step-by-step explanation:

First, let's substitute 0 for x, as we can see at x=0, y is going to be -4.

Now to get our second point let's make -2/3x = -4, or just 2/3=4.

We multiply be 3/2 on both sides and get x = 6. This means that at x = 6, y is going to be equal to 0. Now you can graph it out

Savanna have 40 iris blooms last year this year she had 50% more iris blooms how many more iris blooms did savanna have this year

Answers

Answer:

6

Step-by-step explanation:

50% = 0.50
40 x 0.50 = 20
40 + 20 = 60
Savanna has 69 blooms this year.

hello can someone help me on this question

Answers

Answer:

what question

Step-by-step explanation:

What is the perimeter of a rectangle with a length of 11.25 inches and a
width of 8 inches?

Answers

Answer:

38.5 in

Step-by-step explanation:

11.25 in + 11.25 in + 8 in + 8 in

= 38.5 in

a Rose Garden is formed by joining a rectangle and a semicircle the rectangle is 33 ft long and 26 ft wide. If the gardener wants to build a fence around the garden how many feet of fence are required?​

Answers

First, let's find the area of the rectangle.
We know that the area of a rectangle is the length times width, or
20

32
in this example:
20

32
=
640

So the area of the rectangle is
640
f
t
2
.
You may not know the area of a semicircle, but that's fine

we know the area of a circle, or
π
r
2
.
Since the area of a semicircle is half the area of a circle, we just do the area of the circle divided by
2
:
So the area of a semicircle is
π
r
2
2
.
The question asks for
π
to just be
3.14
, so instead the equation is
A
=
3.14
r
2
2

The picture gives the diameter of the circle.
To find the radius, or
r
, we divide the diameter by
2
:
20
2
=
10

Now we can solve for the area of the semicircle:
3.14
(
10
)
2
2

3.14
(
100
)
2

314
2

157
f
t
2

Now that we now the areas of the rectangle and semicircle, we can add them up to find the area of the rose garden:
640
+
157
=
797
f
t
2

5th-grade math is Very VERY easy If you solve it correctly I WILL MARK it AS BRAINLIST! Also, you will help 100000 of people so plz answer this

Answers

Answer: 6/6 or 1

Step-by-step explanation:

1/3 can be 2/6 when you b=mulitply the numerator and denominator by 2.

4/6 + 4/6 = 6/6 or 1

6/6 or 1 is correct.

4/6 + 1/3 = 2/3 + 1/3 = 1

Eloise's math tutor used algebra tiles to model 3n + 4 - n + 5. What is the simplified form of this expression?

Answers

Answer:

2n + 9

Step-by-step explanation:

3n - n + 4 + 5 = 2n + 9

pls help i think its 3600 but i dont know NO EXPLANATION JUST ANSWER

Answers

Answer:

16

Step-by-step explanation:

Set up a proportion

[tex]\frac{3}{45} = \frac{x}{240}[/tex]

Then, cross multiply.

[tex]720 = 45x\\16 = x\\x = 16[/tex]

Write the prime factorization of 38.​

Answers

2 and 19 explanations

whats the answer can someone answer please​

Answers

Answer:

both are c

Step-by-step explanation:

6 short questions 50 POINTS

Answers

Answer:

KN be better

sons of if his

Solve the system of equations using the substitution method.

5x−4y=−15
x−3y=−3

(3, 0)

(0, -4)

(-3, 0)

(0, -3)

Answers

Answer:

(-3,0)

Step by step explanation:

make x the subject of the formula in equation 2

x-3y=-3

x = 3+3y

substitute x in equation 1

5(3+3y)-3y = -15

open the brackets

15+15y-3y = -15

15+12y=-15

12y = 15-15

12y = 0

divide both sides by 12

y = 0

substitute y in equation 2

x - 3(0) = -3

x - 0 = -3

x = -3+0

x = -3

therefore x = -3

y = 0

What kind of sequence is this? 34, 44, 54, 64, ...​

Answers

+10

Each number, 10 gets added
Arithmetic sequence with a common difference of 10

Pls help!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

numbers are 24 and 210

Step-by-step explanation:

the number are : 24(2x2x2x3) and 210 (3x2x5x7)

GCF of 24 and 210 is 6

LCM of 24 and 210 is 840

9514 1404 393

Answer:

  a. numbers: 24, 210

  b. GCF = 6

  c. LCM = 840

Step-by-step explanation:

The number each circle represents is the product of the factors in that circle:

  red circle: 2×2×2×3 = 24

  blue circle: 2×3×5×7 = 210

The numbers represented in the diagram are 24 and 210.

__

The GCF is the product of the common factors--the factors in the portion of the diagram where the circles overlap:

  GCF = 2×3 = 6

__

The LCM is the product of all of the factors shown in the diagram:

  LCM = 2×2×2×3×5×7 = 840

_____

Additional comment

I personally find this a nice way to represent two numbers, their GCF, and their LCM. Note that there cannot be any numbers in the red (only) part of the diagram that are also in the blue (only) part of the diagram. Any common factors belong in the overlap portion of the diagram.

This diagram makes it easy to see that the LCM is the product of the numbers, divided by their GCF. (The product of the two numbers will have the center portion of the diagram appear twice in the product. It only appears once in the LCM.)

Three business partners, Ren, Jaffary and Abel put money into a business in the ratio 2:3:4. From the profits they shared, Abel got 3400 dollars. How much did ren and Jaffary receive?

HELP GUYS PLS I HAVE 3 MIN TO GO

Answers

Answer:

Ren has 755.4

Jaffray has 1,133.1

Abel has 1,510.8

how would someone simplify 2√12xy^2

Answers

My friends the answer is:Simplify the radical by breaking the radicand up into a product of known factors, assuming positive real numbers. 4 y √ 3 x
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