Complex and Radical Numbers

Multiple Choice

C (complex number), N (natural numbers), Q (rational number), R (real number), and Z (integer number)

Choose the best order list from SMALL to LARGE sets. (letter notation)

• C, N, Q, R, Z

• Z, R, Q, N, C

• N, Z, Q, R, C

• C, R, Q, Z, N

Multiple Choice

Simplify it (use calculator)

$$i^{81}$$  

• i

• -i

• 1

• -1

Multiple Choice

Simplify it (use calculator)

$$i^{72}$$  

• i

• -i

• 1

• -1

Multiple Choice

Simplify it: (use calculator)

$$i^{63}$$  

• i

• -i

• 1

• -1

Multiple Choice

Simplify it: (use calculator)

$$i^{54}$$  

• i

• -i

• 1

• -1

Multiple Choice

Simplify it: (use calculator)

$$i^{-2}$$  

• 1/i

• -1/i

• 1

• -1

Multiple Choice

Simplify it: (use calculator)

$$i^{-3}$$  

• 1/i

• -1/i

• 1

• -1

​Write a real number to a complex form

a + bi ​(where a = real part, b = complex part)

​2 =

2 + ___i

​

​Write a real number to a complex form

a + bi ​(where a = real part, b = complex part)

​2 = 2 + 0i

​

-2 ​= -2 + 0i

​

​Write a real number to a complex form

a + bi ​(where a = real part, b = complex part)

​2i = 0 + 2i

​

-2i ​= 0 - 2i

​

e (an Euler number) = 2.7​18...

e = 0 + e

-ei = 0 - ei​

​

​

​

Multiple Choice

Choose the correct complex form to rewrite the given number below

$$\sqrt[]{6}$$  

• = $$\sqrt[]{6}$$   + 0i

• = - $$\sqrt[]{6}$$   + 0i

• = 0 + i $$\sqrt[]{6}$$  

• e = 0 - i $$\sqrt[]{6}$$  

Multiple Choice

Choose the correct complex form to rewrite the given number below

$$\pi$$  

• $$\pi$$   = $$\pi$$   + 0i

• $$\pi$$   = - $$\pi$$   + 0i

• $$\pi$$   = 0 + $$\pi i$$  

• $$\pi$$   = 0 - $$\pi i$$  

Multiple Choice

Choose the correct complex form to rewrite the given number below

$$-\pi i$$  

• $$-\pi i$$   = $$\pi$$   + 0i

• $$-\pi i$$   = - $$\pi$$   + 0i

• $$-\pi i$$   = 0 + $$\pi i$$  

• $$-\pi i$$   = 0 - $$\pi i$$  

Multiple Choice

Simplify it

$$\sqrt[]{36}$$  

• -6

• 6

• 6i

• -6i

Multiple Choice

Simplify the negative radical below

$$\sqrt[]{-36}$$  

• 6i

• -6i

• $$-i\sqrt[]{6}$$  

• $$i\sqrt[]{6}$$  

Multiple Choice

Simplify the negative radical below

$$\sqrt[]{-6}$$  

• 6i

• -6i

• $$-i\sqrt[]{6}$$  

• $$i\sqrt[]{6}$$  

Multiple Choice

Simplify the negative radical below

$$\sqrt[]{-13}$$  

• 13i

• -13i

• $$-i\sqrt[]{13}$$  

• $$i\sqrt[]{13}$$