Complex Numbers

Practice Questions

PSAT Math › Complex Numbers

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10 of 40

1

Which of the following is equal to ?

2

Which of the following is equal to $i ^{-56}$ ?

3

Which of the following is equal to ?

4

Which of the following is equal to $i ^{-56}$ ?

5

Define an operation $\ast$ as follows:

For all complex numbers ,

$a \ast b = \frac{ai}{b}$ .

Evaluate $(2+ i) \ast (2-i)$ .

6

Define an operation $\ast$ as follows:

For all complex numbers ,

$a \ast b = \frac{ai}{b}$ .

Evaluate $(2+ i) \ast (2-i)$ .

7

Simplify by rationalizing the denominator:

$\frac{2+3i}{4+ 3i}$

8

Simplify by rationalizing the denominator:

$\frac{2+3i}{4+ 3i}$

9

Simplify by rationalizing the denominator:

$\frac{15i}{4- 3i}$

10

Simplify by rationalizing the denominator:

$\frac{15i}{4- 3i}$

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