Question 1

Which of the following best describes the term 'radicand' in the context of radicals?

Accepted Answer

The number under the radical symbol.

Question 2

What is the value of $$\sqrt{49}$$?

Accepted Answer

$$7$$

Question 3

Which of the following is NOT a perfect square?

Accepted Answer

$$72$$

Question 4

Reduce the radical $$\sqrt{72} to $$its simplest form.

Accepted Answer

$$6\sqrt{2}$$

Question 5

If the index is not written outside the radical, what is it assumed to be?

Accepted Answer

$$2$$

Question 6

Which of the following steps is NOT part of reducing a radical?

Accepted Answer

Multiplying the radicand by the index.

Question 7

Reduce $$\sqrt{180} to $$its simplest form.

Accepted Answer

$$6\sqrt{5}$$

Question 8

A medical researcher needs to calculate the square root of the area of a petri dish, which is $$100 	ext{ cm}^2. $$What is the length of one side if the dish is square?

Accepted Answer

$$10 	ext{ cm}$$

Question 9

Reduce $$\sqrt{200} to $$its simplest form.

Accepted Answer

$$10\sqrt{2}$$

Question 10

Which of the following is the correct way to reduce $$\sqrt{50}$$?

Accepted Answer

$$5\sqrt{2}$$

Question 11

A square garden has an area of $$144 	ext{ m}^2. $$What is the length of one side?

Accepted Answer

$$12 	ext{ m}$$

Question 12

Reduce $$\sqrt{32} to $$its simplest form.

Accepted Answer

$$4\sqrt{2}$$

Question 13

Which of the following is the correct definition of a perfect square?

Accepted Answer

A number that can be written as the square of an integer.

Question 14

Reduce $$\sqrt{45} to $$its simplest form.

Accepted Answer

$$3\sqrt{5}$$

Question 15

A square parking lot has an area of $$81 	ext{ m}^2. $$What is the length of one side?

Accepted Answer

$$9 	ext{ m}$$

Question 16

Reduce $$\sqrt{75} to $$its simplest form.

Accepted Answer

$$5\sqrt{3}$$

Question 17

Which of the following is the highest perfect square factor of $$72$$?

Accepted Answer

$$36$$

Question 18

Reduce $$\sqrt{12} to $$its simplest form.

Accepted Answer

$$2\sqrt{3}$$

Question 19

A square field has an area of $$121 	ext{ m}^2. $$What is the length of one side?

Accepted Answer

$$11 	ext{ m}$$

Question 20

Reduce $$\sqrt{24} to $$its simplest form.

Accepted Answer

$$2\sqrt{6}$$

Reducing Radicals and Square Roots

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