What is (8-sqrt(-32))/8 ?

The solution to (8-sqrt(-32))/8 is 1-1/(sqrt(2))i

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simplify (8-sqrt(-32))/8

simplify

\frac{8 - - 32}{8}

1 - \frac{1}{2} i

Solution steps

\frac{8 - - 32}{8}

- 32 = 42 i

= \frac{8 - 4 2 i}{8}

Factor out common term

4 : 4 (2 - 2 i)

= \frac{4 ( 2 - 2 i )}{8}

Factor the number:

8 = 4 \cdot 2

= \frac{4 ( 2 - 2 i )}{4 \cdot 2}

Cancel the common factor:

4

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

\frac{2 - 2 i}{2} = 1 - \frac{1}{2} i

= 1 - \frac{1}{2} i

6 \cdot \frac{5}{8}

\frac{21}{2} \div \frac{2}{6}

\frac{- 3.00 1 ^{3} + 27}{- 3.001 + 3}

10 x^{3} y (- 13 x^{4} y)

x + 2 \cdot x + 2