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Popular >

simplify 3/(6+i)

Solution

simplify

\frac{3}{6 + i}

Solution

\frac{18}{37} - \frac{3}{37} i

Solution steps

\frac{3}{6 + i}

Multiply by the conjugate

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

= \frac{3 ( 6 - i )}{( 6 + i ) ( 6 - i )}

Simplify

\frac{3 ( 6 - i )}{( 6 + i ) ( 6 - i )} : \frac{18 - 3 i}{37}

= \frac{18 - 3 i}{37}

Rewrite in standard complex form:

\frac{18}{37} - \frac{3}{37} i

= \frac{18}{37} - \frac{3}{37} i

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Frequently Asked Questions (FAQ)

What is 3/(6+i) ?
The solution to 3/(6+i) is 18/37-3/37 i