# How do you simplify the square root of 150 over 5?

Feb 10, 2016

$\sqrt{6} \text{ or "sqrt(30)" }$depending on what you meant in the question!

#### Explanation:

Depends on what you meant!

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Suppose you meant: $\frac{\sqrt{150}}{5}$

$\frac{\sqrt{150}}{5} \text{ "=" } \sqrt{\frac{150}{5} ^ 2}$

$= \sqrt{6}$
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Suppose you meant: $\sqrt{\frac{150}{5}}$

$= \sqrt{30}$
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Just as a demonstration of the way you can 'play' with expressions:

$\sqrt{30} \text{ "=" "sqrt(3^2 (3+1/3))" "=" } 3 \sqrt{3 \frac{1}{3}}$

Because:$\text{ "3^2=9" so we have } 9 \left(3 + \frac{1}{3}\right) = 27 + 3 = 30$