What is (sqrt(-10))/(sqrt(-40)) ?

The solution to (sqrt(-10))/(sqrt(-40)) is 1/2

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simplify (sqrt(-10))/(sqrt(-40))

simplify

\frac{- 10}{- 40}

\frac{1}{2}

Decimal Notation

0.5

Solution steps

\frac{- 10}{- 40}

- 10 = 10 i

= \frac{10 i}{- 40}

- 40 = 40 i

= \frac{10 i}{40 i}

Cancel the common factor:

i

= \frac{10}{40}

Factor

10 : 25

Factor

40 : 225

= \frac{2 5}{2 2 5}

Cancel the common factor:

5

= \frac{2}{2 2}

Rationalize

\frac{2}{2 2} : \frac{1}{2}

= \frac{1}{2}

(3 - 2 t) (3 + 2 t)

- 15 - (- 7)

36 w^{2} - 25

(4 x + 1)^{4}

\frac{( 3 ^{3} ) ^{2}}{3 ^{5}}

What is (sqrt(-10))/(sqrt(-40)) ?
The solution to (sqrt(-10))/(sqrt(-40)) is 1/2