Quiz about Simplifying Complex Numbers

Question 1

Which of the following is equivalent to:

$$\sqrt[]{-12}$$

Accepted Answer

$$2i\ \sqrt[]{3}$$

Answer

$$2i\ \sqrt[]{2}$$

Answer

$$3i\ \sqrt[]{3}$$

Answer

$$3i\ \sqrt[]{2}$$

Question 2

SELECT ALL THE ANSWERS that would be expressions of an imaginary number.

Accepted Answer

$$\sqrt[]{-4}$$

Accepted Answer

$$\sqrt[]{-12}$$

Answer

$$-\ \sqrt[]{4}$$

Answer

$$\sqrt[]{16}$$

Question 3

Which of the following is equivalent to:

$$\sqrt[]{-25}$$

Accepted Answer

$$5i\ $$

Answer

$$4i\ \sqrt[]{5}$$

Answer

$$5i\ \sqrt[]{4}$$

Answer

$$25i\ $$

Question 4

Which of the following is equivalent to:

$$\sqrt[]{-108}$$

Accepted Answer

$$6i\ \sqrt[]{3}$$

Answer

$$2i\ \sqrt[]{27}$$

Answer

$$3i\ \sqrt[]{12}$$

Answer

$$54i\ \sqrt[]{2}$$

Question 5

IS $$\sqrt[]{-81}$$ THE SAME AS $$-\ \sqrt[]{81}$$ ?

Accepted Answer

NO, THE ANSWERS ARE NOT THE SAME

Answer

YES, THE ANSWERS ARE THE SAME

Question 6

Which of the following is equivalent to:

$$-\ \sqrt[]{121}$$

Accepted Answer

$$-\ 11$$

Answer

$$-\ 11i$$

Answer

$$11i$$

Answer

11

Question 7

Which of the following is equivalent to:

$$\sqrt[]{-\ 50}$$

Accepted Answer

$$5i\ \sqrt[]{2}$$

Answer

$$-5i\ \sqrt[]{2}$$

Answer

$$2i\ \sqrt[]{25}$$

Answer

$$i\ \sqrt[]{50}$$

Question 8

Which of the following is equivalent to:

$$\sqrt[]{10000}$$

Accepted Answer

100

Answer

10

Answer

1000

Answer

$$i^{100}$$

Question 9

Which of the following is equivalent to:

$$-\ \sqrt[]{169}$$

Accepted Answer

$$-13$$

Answer

$$13i$$

Answer

$$13$$

Answer

$$-13i$$

Question 10

Which of the following is equivalent to:

$$\sqrt[]{-\ 288}$$

Accepted Answer

$$12i\ \sqrt[]{2}$$

Answer

$$12i\ \sqrt[]{-\ 2}$$

Answer

$$-12i\ \sqrt[]{2}$$

Answer

$$2i\ \sqrt[]{144}$$

Simplifying Complex Numbers

12 questions

SELECT ALL THE ANSWERS that would be expressions of an imaginary number.

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