Question
Find the value of: $\frac{\sqrt{441}}{\sqrt{625}}$
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Answer
Computing the square roots, $\sqrt{441}=\sqrt{(3\times3)\times(7\times7)}=3\times7=21$ $\sqrt{625}=\sqrt{(5\times5)\times(5\times5)=5\times5}=25$
$\therefore\frac{\sqrt{441}}{\sqrt{625}}=\frac{21}{25}$
$\therefore\frac{\sqrt{441}}{\sqrt{625}}=\frac{21}{25}$
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