How do you divide $\sqrt{\frac{36}{49}}$ $sqrt(36/49)$ ?

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How do you divide $\sqrt{\frac{36}{49}}$ $sqrt(36/49)$ ?

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Answer 1 · 2015-03-30T10:26:19

You may have noticed that $36 = 6^{2}$ $36=6^2$ and $49 = 7^{2}$ $49=7^2$

Squares against square roots cancel out, so:

$\sqrt{\frac{36}{49}} = \sqrt{\frac{6^{2}}{7^{2}}} = \sqrt{{(\frac{6}{7})}^{2}} = \frac{6}{7}$ $sqrt(36/49)=sqrt(6^2/7^2)=sqrt((6/7)^2)=6/7$

Another way:

$\sqrt{\frac{36}{49}} = \frac{\sqrt{36}}{\sqrt{49}} = \frac{\sqrt{6^{2}}}{\sqrt{7^{2}}} = \frac{6}{7}$ $sqrt(36/49)=sqrt(36)/sqrt(49)=sqrt(6^2)/sqrt(7^2)=6/7$

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How do you divide $\sqrt{\frac{36}{49}}$ $sqrt(36/49)$ ?

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