Question 1

Which of the following best describes the imaginary unit $$i$$?

Accepted Answer

$$i is $$the solution to $$x^2 + 1 = 0$

Question 2

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

Accepted Answer

$$7i$$

Question 3

Simplify $$\sqrt{-16}.$$

Accepted Answer

$$4i$$

Question 4

Which of the following statements is TRUE?

Accepted Answer

Square roots of negative numbers are not real.

Question 5

Express $$\sqrt{-81} in $$terms of $$i.$$

Accepted Answer

$$9i$$

Question 6

If $$i = \sqrt{-1}$$, what is $$i^2$$?

Accepted Answer

$$-1$$

Question 7

Which of the following is NOT an imaginary number?

Accepted Answer

$$\sqrt{25}$$

Question 8

Simplify $$\sqrt{-100}.$$

Accepted Answer

$$10i$$

Question 9

Which of the following is a correct way to factor $$\sqrt{-a}$$, where $$a \u003e 0$$?

Accepted Answer

$$\sqrt{a} \cdot i$$

Question 10

A medical imaging device uses the concept of imaginary numbers in its calculations. If the device computes $$\sqrt{-225}$$ during a scan, what value does it use?

Accepted Answer

$$15i$$

Question 11

Which of the following is the correct simplification for $$\sqrt{-144}$$?

Accepted Answer

$$12i$$

Question 12

If $$\sqrt{-x} = 6i$$, what is the value of $$x$$?

Accepted Answer

$$36$$

Question 13

Which of the following best explains why $$\sqrt{-9} is $$not a real number?

Accepted Answer

There is no real number whose square is $$-9.$$

Question 14

Simplify $$\sqrt{-1} \cdot \sqrt{-1}.$$

Accepted Answer

$$-1$$

Question 15

Which of the following is a real number?

Accepted Answer

$$\sqrt{36}$$

The Imaginary Unit and Square Roots of Negative Numbers

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