What is (sqrt(72))/(sqrt(-18)) ?

The solution to (sqrt(72))/(sqrt(-18)) is -2i

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simplify (sqrt(72))/(sqrt(-18))

simplify

\frac{72}{- 18}

- 2 i

Solution steps

\frac{72}{- 18}

- 18 = 2 \cdot 3 i

= \frac{72}{2 \cdot 3 i}

Factor

72 : 2 \cdot 6

= \frac{2 \cdot 6}{2 \cdot 3 i}

Cancel the common factor:

2

= \frac{6}{3 i}

Factor the number:

6 = 3 \cdot 2

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

Cancel the common factor:

3

= \frac{2}{i}

Simplify

\frac{2}{i} : - 2 i

= - 2 i

11 x^{2} y^{3} (16 x^{2} y^{3})

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6 x^{4} y^{2} (x^{3} y^{3})

2 (2 x^{2})

x^{\frac{3}{2}}