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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,
225 | |
2 | 50625 4 |
42
| 106 84 |
445 | 2225 2225 |
0 |
$\sqrt{506.25}=\sqrt{\frac{50625}{100}}$
$\sqrt{5.0625}=\sqrt{\frac{50625}{10000}}$
Therefore,
$\sqrt{506.25}+\sqrt{5.0625}=\sqrt{\frac{50625}{100}}+\sqrt{\frac{50625}{10000}}$
$=\frac{225}{10}+\frac{225}{100}$
$=22.5+2.25$
$=24.75$Advertisements