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Popular >

simplify 1/(2-2i)

Solution

simplify

\frac{1}{2 - 2 i}

Solution

\frac{1}{4} + \frac{1}{4} i

Solution steps

\frac{1}{2 - 2 i}

Multiply by the conjugate

\frac{2 + 2 i}{2 + 2 i}

= \frac{1 \cdot ( 2 + 2 i )}{( 2 - 2 i ) ( 2 + 2 i )}

Simplify

\frac{1 \cdot ( 2 + 2 i )}{( 2 - 2 i ) ( 2 + 2 i )} : \frac{2 + 2 i}{8}

= \frac{2 + 2 i}{8}

Apply the fraction rule:

\frac{a + bi}{c} = \frac{a}{c} + \frac{b}{c} i

= \frac{2}{8} + \frac{2}{8} i

Simplify

\frac{2}{8} + \frac{2}{8} i : \frac{1}{4} + \frac{1}{4} i

= \frac{1}{4} + \frac{1}{4} i

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Frequently Asked Questions (FAQ)

What is 1/(2-2i) ?
The solution to 1/(2-2i) is 1/4+1/4 i