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Popular >

simplify 2/(6+5i)

Solution

simplify

\frac{2}{6 + 5 i}

Solution

\frac{12}{61} - \frac{10}{61} i

Solution steps

\frac{2}{6 + 5 i}

Multiply by the conjugate

\frac{6 - 5 i}{6 - 5 i}

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

Simplify

\frac{2 ( 6 - 5 i )}{( 6 + 5 i ) ( 6 - 5 i )} : \frac{12 - 10 i}{61}

= \frac{12 - 10 i}{61}

Rewrite in standard complex form:

\frac{12}{61} - \frac{10}{61} i

= \frac{12}{61} - \frac{10}{61} i

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Frequently Asked Questions (FAQ)

What is 2/(6+5i) ?
The solution to 2/(6+5i) is 12/61-10/61 i