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Evaluate $\sqrt{50625}$ and hence find the value of $\sqrt{5.0625}+\sqrt{506.25}$.
Given: Term $\sqrt{50625}$ .
To do: To evaluate $\sqrt{50625}$ and also to find the value of $\sqrt{5.0625}+\sqrt{506.25}$.
Solution:
$\sqrt{50625}$
$=\sqrt{\underline{3\times3}\times\underline{3\times3}\times\underline{5\times5}\times\underline{5\times5}}$
$=3\times3\times5\times5$
$=225$
Now, $\sqrt{5.0625}+\sqrt{506.25}$
$=2.25+22.5$
$=24.75$
Thus, $\sqrt{50625}=225$ and $\sqrt{5.0625}+\sqrt{506.25}=24.75$.
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