What is the square root of 1/169?

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What is the square root of 1/169?

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Answer 1 · 2018-03-15T21:43:09

1/13

Explanation:

Treat a fraction like it's two separate numbers when doing work with exponents:

$\sqrt{\frac{1}{169}} = \frac{\sqrt{1}}{\sqrt{169}}$ $sqrt(1/169)=sqrt(1)/sqrt(169)$

The square root of 1 is 1, so we only need to worry about the square root of the denominator. Luckily, 169 is a perfect square of 13 $(13^{2} = 169 \Leftrightarrow \sqrt{169} = 13)$ $(13^2=169 hArr sqrt(169)=13)$ :

$\frac{1}{\sqrt{169}} = \frac{1}{13}$ $1/sqrt(169)=1/13$

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What is the square root of 1/169?

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