Quiz about Evaluating Nth Roots

Question 1

Examine the radical expression. What is the index?

Accepted Answer

5

Answer

108

Answer

36

Question 2

Examine the radical expression. What is the radicand?

Accepted Answer

108

Answer

3

Answer

36

Question 3

Examine the radical expression. Which question best represents this expression?

Accepted Answer

What value can be multiplied by itself 5 times to obtain 108?

Answer

What value can be multiplied by itself 108 times to obtain 5?

Answer

What is the value of 108 divided by 5?

Answer

What is the value of 5 divided by 108?

Question 4

Simplify the radical expression.

Accepted Answer

Answer

Answer

$$\sqrt{18}$$

Answer

Question 5

Write the given expression in radical form.

Accepted Answer

Question 6

Write the given expression in radical form.

Accepted Answer

Question 7

Simplify the radical expression.

Accepted Answer

$$6c$$

Answer

$$6c^2$$

Answer

$$36c^2$$

Answer

$$\sqrt{6c}$$

Question 8

Simplify the radical expression.

Accepted Answer

$$d^3r$$

Answer

$$d^{12}r^4$$

Answer

$$\sqrt{d^3r}$$

Answer

$$\sqrt{d^{12}r^4}$$

Question 9

Rewrite (expand) the radical expression using the Radical of Product property.

Accepted Answer

Option A is correct

Answer

B.

Answer

C.

Question 10

Which of the following is NOT a possible way to rewrite the given expression?

Accepted Answer

Option C is correct

Answer

A.

Answer

B.

Question 11

Which of the following is NOT a possible way to rewrite the given expression?

Accepted Answer

Option C is correct

Answer

A.

Answer

B.

Question 12

Which property of exponents could be used to prove the radical of quotient property of radicals?

Accepted Answer

Power of Quotient

Answer

Power of Product

Answer

Power of Power

Question 13

Which of the following is NOT a possible way to rewrite the radical expression?

Accepted Answer

Option D is correct

Answer

A.

Answer

B.

Answer

C.

Question 14

Rewrite (expand) the radical expression using the Radical of Quotient property.

Accepted Answer

Option A is correct

Answer

B.

Answer

C.

Question 15

Write the given expression in exponential form.

Accepted Answer

$$h^{\frac{1}{2}}$$

Answer

$$h^2$$

Answer

$$h$$

Answer

$$h^{\frac{1}{3}}$$

Question 16

Rewrite (condense) the radical expression using the Radical of Product property.

Accepted Answer

Option A is correct

Answer

B.

Answer

C.

Answer

D.

Question 17

Which property of exponents could be used to prove the radical of power property of radicals?

Accepted Answer

Power of Power

Answer

Power of Product

Answer

Power of Quotient

Evaluating Nth Roots

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