How to divide complex numbers

Practice Questions

ACT Math › How to divide complex numbers

Questions

8

1

Complex numbers take the form , where is the real term in the complex number and is the nonreal (imaginary) term in the complex number.

Simplify: $\frac{6+12i}{4}$

2

Evaluate: $100 \div (1+i) \div (1-i)$

3

Evaluate: $100 \div 5i \div 5i$

4

Complex numbers take the form , where is the real term in the complex number and is the nonreal (imaginary) term in the complex number.

Simplify by using conjugates: $\frac{4+2i}{-3-2i}$

5

Simplify: $\frac{9+4i}{4i}$

6

Evaluate: $100i \div (4i )^{2}$

7

Evaluate: $i \div \left ( 1+ i\right )^{2}$

8

Simplify:

${}\frac{5+7i}{2+i}$

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