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Popular >

simplify (6-i)/(2+i)

Solution

simplify

\frac{6 - i}{2 + i}

Solution

\frac{11}{5} - \frac{8}{5} i

Solution steps

\frac{6 - i}{2 + i}

Multiply by the conjugate

\frac{2 - i}{2 - i}

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

Simplify

\frac{( 6 - i ) ( 2 - i )}{( 2 + i ) ( 2 - i )} : \frac{11 - 8 i}{5}

= \frac{11 - 8 i}{5}

Rewrite in standard complex form:

\frac{11}{5} - \frac{8}{5} i

= \frac{11}{5} - \frac{8}{5} i

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Frequently Asked Questions (FAQ)

What is (6-i)/(2+i) ?
The solution to (6-i)/(2+i) is 11/5-8/5 i