What is (sqrt(-1/2))/(sqrt(-1/8)) ?

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

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simplify (sqrt(-1/2))/(sqrt(-1/8))

simplify

\frac{- \frac{1}{2}}{- \frac{1}{8}}

2

Solution steps

\frac{- \frac{1}{2}}{- \frac{1}{8}}

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

= \frac{\frac{1}{2} i}{- \frac{1}{8}}

- \frac{1}{8} = \frac{1}{2 2} i

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

Cancel the common factor:

i

= \frac{\frac{1}{2}}{\frac{1}{2 2}}

\frac{\frac{1}{2}}{\frac{1}{2 2}} = 2

= 2

(3 x 1 0^{4}) (2.3 x 1 0^{3})

\frac{e ^{6}}{e ^{2}}

What is (sqrt(-1/2))/(sqrt(-1/8)) ?
The solution to (sqrt(-1/2))/(sqrt(-1/8)) is 2