What is (sqrt(-36))/(sqrt(-2)\sqrt{-9)} ?

The solution to (sqrt(-36))/(sqrt(-2)\sqrt{-9)} is -sqrt(2)i

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simplify (sqrt(-36))/(sqrt(-2)\sqrt{-9)}

simplify

\frac{- 36}{- 2 - 9}

- 2 i

Solution steps

\frac{- 36}{- 2 - 9}

Factor

- 36 : 3 \cdot 2

= \frac{3 \cdot 2}{- 2 - 9}

- 9 = 3

= \frac{3 \cdot 2}{- 2 \cdot 3}

Cancel the common factor:

3

= \frac{2}{- 2}

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

= - 2 i

\frac{5}{3} + \frac{4}{9} + \frac{6}{18}

x^{3} + 3 x^{2} - 6 x - 8

60 - 2 x^{2} = x^{2} + 9 x + 30

\frac{5 n + 15}{4 n + 8} \cdot \frac{2 n + 4}{3 n + 9}

\frac{1}{x + 2} \geq 0

What is (sqrt(-36))/(sqrt(-2)\sqrt{-9)} ?
The solution to (sqrt(-36))/(sqrt(-2)\sqrt{-9)} is -sqrt(2)i