Evaluate $\sqrt{50625}$ and hence find the value of $\sqrt{506.25}+\sqrt{5.0625}$.

Given: 

$\sqrt{50625}$

To do: 

We have to evaluate $\sqrt{50625}$ and hence find the value of $\sqrt{506.25}+\sqrt{5.0625}$.

Solution:

Square root of 50625 is,

$\sqrt{506.25}=\sqrt{\frac{50625}{100}}$

$\sqrt{5.0625}=\sqrt{\frac{50625}{10000}}$

Therefore,

$\sqrt{506.25}+\sqrt{5.0625}=\sqrt{\frac{50625}{100}}+\sqrt{\frac{50625}{10000}}$

$=\frac{225}{10}+\frac{225}{100}$

$=22.5+2.25$

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Updated on: 10-Oct-2022

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