Quiz about Radicals Review

Question 1

Question 1.

Accepted Answer

B

Answer

A

Answer

C

Answer

D

Question 2

$$10\sqrt{5}-12\sqrt{5}$$ is equivalent to

Accepted Answer

$$-2\sqrt{5}$$

Answer

Answer

$$2\sqrt{5}$$

Question 3

$$2\sqrt{3}+5\sqrt{3}$$ is equivalent to

Accepted Answer

$$7\sqrt{3}$$

Answer

Answer

$$7\sqrt{6}$$

Question 4

Which is the simplest form of $$\frac{12}{\sqrt{3}}$$ ?

Accepted Answer

$$4\sqrt{3}$$

Answer

$$\frac{12\sqrt{3}}{3}$$

Answer

$$\frac{12\sqrt{2}}{\sqrt{6}}$$

Question 5

Which is the simplest form of $$\frac{4\sqrt{5}}{\sqrt{2}}$$ ?

Accepted Answer

$$2\sqrt{10}$$

Answer

$$\frac{20}{\sqrt{10}}$$

Answer

$$\frac{4\sqrt{10}}{\sqrt{4}}$$

Question 6

$$x^{\frac{1}{2}}\cdot x^{\frac{5}{2}}$$ Apply the appropriate property of exponent to simplify. Select ALL equivalent expressions.

Accepted Answer

$$\sqrt{x^6}$$

Accepted Answer

Answer

Answer

$$x^{\frac{6}{4}}$$

Question 7

Select all numbers that are equivalent to $$8^{\frac{1}{2}}$$

Accepted Answer

$$\sqrt{8}$$

Accepted Answer

$$2\sqrt{2}$$

Answer

Answer

$$8\ \frac{1}{2}$$

Question 8

Select ALL numbers equivalent to $$4^{\frac{3}{2}}$$

Accepted Answer

$$4\cdot4^{\frac{1}{2}}$$

Accepted Answer

Accepted Answer

Answer

Question 9

Select ALL numbers equivalent to $$25^{\frac{1}{2}}$$

Accepted Answer

Accepted Answer

$$\sqrt{25}$$

Answer

Answer

Answer

$$25\ \frac{1}{2}$$

Question 10

Rewrite in Exponential Form.

Accepted Answer

D

Answer

A

Answer

B

Answer

C

Question 11

The number under the radical sign or square root sign  is called the ______.

Accepted Answer

radicand

Answer

radical sign

Answer

factor

Answer

exponent

Question 12

$$\sqrt{b^{13}d^4}$$
Written in simplest radical form, the expression shown is equal to-

Accepted Answer

$$b^6d^2\sqrt{b}$$

Answer

$$b^3d^2\sqrt{b}$$

Answer

$$b^3d^2\sqrt{b^4d^2}$$

Answer

$$b^5d^2\sqrt{b^2d^2}$$

Question 13

Indicates the number of solution of: $$^3\sqrt{32}$$

Accepted Answer

Answer

Answer

Question 14

$$^5\sqrt{-12}$$ Indicates the number of solutions of:

Accepted Answer

Answer

Answer

Question 15

Indicates de number of solutions of: $$\sqrt{-4}$$

Accepted Answer

Answer

Answer

Question 16

$$\sqrt{5^3}$$ Write in exponential form

Accepted Answer

$$5^{\frac{3}{2}}$$

Answer

$$5^{\frac{2}{3}}$$

Answer

$$5^{\frac{3}{1}}$$

Answer

$$5^{\frac{1}{3}}$$

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