What is (1+sqrt(-64))/(2-8i) ?

The solution to (1+sqrt(-64))/(2-8i) is -31/34+6/17 i

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simplify (1+sqrt(-64))/(2-8i)

simplify

\frac{1 + - 64}{2 - 8 i}

- \frac{31}{34} + \frac{6}{17} i

Solution steps

\frac{1 + - 64}{2 - 8 i}

Multiply by the conjugate

\frac{2 + 8 i}{2 + 8 i}

= \frac{( 1 + - 64 ) ( 2 + 8 i )}{( 2 - 8 i ) ( 2 + 8 i )}

Simplify

\frac{( 1 + - 64 ) ( 2 + 8 i )}{( 2 - 8 i ) ( 2 + 8 i )} : \frac{24 i - 62}{68}

= \frac{24 i - 62}{68}

Rewrite in standard complex form:

- \frac{31}{34} + \frac{6}{17} i

= - \frac{31}{34} + \frac{6}{17} i

(1.25)^{2}

5 + (- 3) (6 x - 5)

5^{2} + 1 0^{2}

(x - 3) (y + 2)

\frac{10}{120}

What is (1+sqrt(-64))/(2-8i) ?
The solution to (1+sqrt(-64))/(2-8i) is -31/34+6/17 i