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Popular >

simplify 6/(5-2i)

Solution

simplify

\frac{6}{5 - 2 i}

Solution

\frac{30}{29} + \frac{12}{29} i

Solution steps

\frac{6}{5 - 2 i}

Multiply by the conjugate

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

= \frac{6 ( 5 + 2 i )}{( 5 - 2 i ) ( 5 + 2 i )}

Simplify

\frac{6 ( 5 + 2 i )}{( 5 - 2 i ) ( 5 + 2 i )} : \frac{30 + 12 i}{29}

= \frac{30 + 12 i}{29}

Rewrite in standard complex form:

\frac{30}{29} + \frac{12}{29} i

= \frac{30}{29} + \frac{12}{29} i

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Frequently Asked Questions (FAQ)

What is 6/(5-2i) ?
The solution to 6/(5-2i) is 30/29+12/29 i