# Worksheet: Dividing Complex Numbers

In this worksheet, we will practice performing division on complex numbers.

Q1:

Simplify .

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Q2:

Put in the form .

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Q3:

Simplify .

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Q4:

Simplify .

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Q5:

Express in the form .

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Q6:

Simplify .

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Q7:

Put in the form .

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Q8:

Simplify .

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Q9:

Simplify .

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Q10:

Simplify .

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Q11:

Simplify .

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Q12:

Simplify .

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Q13:

Solve the equation .

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Q14:

If , is it true that ?

• Ayes
• Bno

Q15:

Find the real values of and that satisfy the equation .

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• E,

Q16:

Put in the form .

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Q17:

By what complex number would you multiply the numerator and denominator of the quotient in order to simplify it?

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Q18:

Simplify .

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Q19:

Expand and simplify .

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Expand .

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Hence, find a fraction which is equivalent to and whose denominator is real.

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Q20:

Simplify .

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Q21:

Solve the equation for .

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Q22:

Put in the form .

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Q23:

Put in the form .

Q24:

Simplify .

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Q25:

Express in the form .

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