What is the square root of $\frac{144}{169}$ $144/169$ ?

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What is the square root of $\frac{144}{169}$ $144/169$ ?

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Answer 1 · 2018-03-02T04:51:34

$\frac{12}{13}$ $12/13$ or $0.923$ $0.923$

Explanation:

We can write this as:

$\sqrt{\frac{144}{169}}$ $sqrt(144/169)$

This is the same thing as taking the square root of the numerator and the denominator, then dividing:

$\frac{\sqrt{144}}{\sqrt{169}}$ $sqrt(144)/sqrt(169)$

Square root of $144 = 12$ $144=12$
Square root of $169 = 13$ $169=13$

$= \frac{12}{13}$ $=12/13$

In decimals, it is:

$\approx 0.923$ $~~0.923$

Thus, we have our answer.

Answer 2 · 2018-03-02T04:53:59

$\pm \frac{12}{13}$ $color (blue)(+-12/13)$

Explanation:

$\sqrt{\frac{144}{169}}$ $sqrt(144/169)$

$\sqrt{\frac{12^{2}}{13^{2}}}$ $sqrt ((12^2)/(13^2))$

$\frac{12}{13}$ $color (red)(12/13)$

Or

$\sqrt{\frac{{(- 12)}^{2}}{13^{2}}}$ $sqrt (((-12)^2)/(13^2))$

$\frac{- 12}{13}$ $color (red)((-12)/13)$

Or

$\sqrt{\frac{12^{2}}{{(- 13)}^{2}}}$ $sqrt ((12^2)/((-13)^2))$

$\frac{12}{- 13}$ $12/(-13)$

$\frac{- 12}{13}$ $color (red)((-12)/13)$

Or

$\sqrt{\frac{{(- 12)}^{2}}{{(- 13)}^{2}}}$ $sqrt (((-12)^2)/((-13)^2))$

$\frac{- 12}{- 13}$ $(-12)/(-13)$

$\frac{12}{13}$ $color (red)(12/13)$

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What is the square root of $\frac{144}{169}$ $144/169$ ?

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