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Popular >

simplify 6/(6+i)

Solution

simplify

\frac{6}{6 + i}

Solution

\frac{36}{37} - \frac{6}{37} i

Solution steps

\frac{6}{6 + i}

Multiply by the conjugate

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

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

Simplify

\frac{6 ( 6 - i )}{( 6 + i ) ( 6 - i )} : \frac{36 - 6 i}{37}

= \frac{36 - 6 i}{37}

Rewrite in standard complex form:

\frac{36}{37} - \frac{6}{37} i

= \frac{36}{37} - \frac{6}{37} i

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\frac{x + 3}{x + 8} < \frac{x - 1}{x - 3}

Frequently Asked Questions (FAQ)

What is 6/(6+i) ?
The solution to 6/(6+i) is 36/37-6/37 i