Question

Add 5√10 + √10.

A. √60
B. 6√20
C. 6√10
D. √25

Answer 1

[AI-generated answer — Bot GPT 3.5]

5√10 + √10 = (5 + 1)√10 = 6√10

Therefore, the answer is C. 6√10

Answer 2

Subtract 11√19 - 5√19.

The difference is ___

Answer 3

[AI-generated answer — Bot GPT 3.5]

11√19 - 5√19 = (11 - 5)√19 = 6√19

Therefore, the difference is 6√19.

Answer 4

Multiply (5√19) (6√2). Give an exact answer.

Answer 5

[AI-generated answer — Bot GPT 3.5]

(5√19) (6√2) = 30√(19√2)

Simplifying further, we can multiply the coefficients and square roots separately:

30 * √(19 * 2) = 30 * √38

Therefore, the product is 30√38.

Answer 6

Divide 36√39/9√13. Provide an exact answer.

Answer 7

[AI-generated answer — Bot GPT 3.5]

To divide the expression, we can divide both the coefficients and square roots separately:

36√39/9√13 = (36/9) * (√39/√13) = 4 * √3

Therefore, the exact answer is 4√3.

Answer 8

Simplify ³√54.

Note: You will find the option to add a cubic root symbol in the Algebra (×) keyboard.

Answer 9

[AI-generated answer — Bot GPT 3.5]

³√54 = √(54^(1/3))

To simplify this expression, we can break down 54 into its prime factors:

54 = 2^1 * 3^3

Now we can simplify:

³√54 = ³√(2^1 * 3^3) = ³√(2 * (3^2 * 3^1)) = ³√(2 * 27)

Since 2 is already a perfect cube, we can take it out of the cube root:

³√(2 * 27) = ³√2 * ³√27

Now, ∛2 is already simplified, we just need to simplify ∛27:

³√27 = ³√(3^3) = 3

Therefore, the simplified form of ³√54 is 3∛2.

Answer 10

Find the square root of 169: √169.

A. -13
B. 13
C. 84.5
D. 13, -13

Answer 11

[AI-generated answer — Bot GPT 3.5]

√169 = 13

Therefore, the answer is B. 13

Answer 12

Find the cube root of -729: ³√-729

A. 9, -9
B. -9
C. 243
D. 9

Answer 13

[AI-generated answer — Bot GPT 3.5]

³√-729 = -9

Therefore, the answer is B. -9

Answer 14

Find the cube root of -8: ³√-8

Answer 15

[AI-generated answer — Bot GPT 3.5]

³√-8 = -2

Therefore, the answer is -2.

Answer 16

The total cost for cleaning a square garden is $50.00. If the charge was $0.50 per square meter, what is the length of each side of the garden?

A. 100 meters
B. 20 meters
C. 10 meters
D. 5 meters

Answer 17

[AI-generated answer — Bot GPT 3.5]

Since the charge is $0.50 per square meter, and the total cost is $50.00, we can set up an equation to solve for the area.

Let x be the length of each side of the square garden.

The area of a square is given by side length squared, so the equation is:

x^2 = 50 / 0.50
x^2 = 100

Taking the square root of both sides, we find:

x = √100

x = 10

Therefore, the length of each side of the garden is 10 meters.

The answer is C. 10 meters.

Answer 18

What is the irrational square root √63 rewritten as the product of an integer and another irrational square root, in simplest form?

Answer 19

[AI-generated answer — Bot GPT 3.5]

√63 can be simplified as follows:

√63 = √(3 * 3 * 7) = 3√7

Therefore, √63 can be rewritten as the product of an integer (3) and another irrational square root (√7).

Answer 20

What is the irrational cube root ³√81 rewritten as a product of an integer and another irrational cube root?

Note: You will find the option to add a cubic root symbol in the Algebra (×) keyboard.

Answer 21

[AI-generated answer — Bot GPT 3.5]

³√81 can be simplified as follows:

³√81 = ³√(3 * 3 * 3 * 3) = 3 * ³√(3 * 3)

Therefore, ³√81 can be rewritten as the product of an integer (3) and another irrational cube root (³√9).

Answer 22

What is ³√72 simplified?

Note: You will find the option to add a cubic root symbol in the Algebra (×) keyboard.

Answer 23

[AI-generated answer — Bot GPT 3.5]

³√72 can be simplified as follows:

³√72 = ³√(2 * 2 * 2 * 3) = 2 * ³√(2 * 9)

Therefore, ³√72 can be simplified as the product of an integer (2) and another irrational cube root (³√18).

Answer 24

Find the cubic root of 135.

A. 3√5
B. 3³√5
C. 5³√27
D. ³√5

Answer 25

[AI-generated answer — Bot GPT 3.5]

To find the cubic root of 135, we look for the prime factors of 135:

135 = 3 * 3 * 3 * 5 = 3³ * 5

The cubic root of 135 can be expressed as:
³√135 = ³√(3³ * 5)

Using the properties of cube roots, we can simplify:
³√(3³ * 5) = 3 * ³√5

Therefore, the cubic root of 135 is 3 * ³√5.

The answer is B. 3³√5.

Answer 26

What is the circumference of a circle with a diameter of 4.5 miles? Estimate the circumference to the hundredths place using 3.14 for pi.

A. 7.07 miles
B. 63.59 miles
C. 14.13 miles
D. 14.2 miles

Answer 27

what is the answer?

Answer 28

[AI-generated answer — Bot GPT 3.5]

To find the circumference of a circle, we can use the formula:

Circumference = π * diameter

Given a diameter of 4.5 miles, and using 3.14 for π, we can calculate the circumference:

Circumference ≈ 3.14 * 4.5 = 14.13

Therefore, the circumference of a circle with a diameter of 4.5 miles is approximately 14.13 miles.

The answer is C. 14.13 miles.

Answer 29

Rewrite the irrational cube root 189−−−√3 as the product of an integer and another irrational cube root. Show your work. Note: You will find the option to add a cubic root symbol in the Algebra ( × ) keyboard.

Answer 30

[AI-generated answer — Bot GPT 3.5]

To rewrite the cube root of 189 as the product of an integer and another irrational cube root, we can break down 189 into its prime factors:

189 = 3 * 3 * 3 * 7

Now, let's simplify:

³√189 = ³√(3 * 3 * 3 * 7) = ³√(3³ * 7)

Using the property of cube roots, we can rewrite this as:

³√(3³ * 7) = 3 * ³√7

Therefore, the cube root of 189 can be rewritten as the product of an integer (3) and another irrational cube root (³√7).

Answer 31

Answers:

6√10
6√19
30√38
4√3
3³√2
13
-9
-2
10 meters
3√7
3³√3
2³√9
3³√5
14.13 miles