Question

Find the value of $\sqrt{\frac{23}{87}}$ upto two places of decimal.

Answer 1

$\sqrt{\frac{23}{87}}=\sqrt{0.264367816092}=\sqrt{0.264367}$

$5\left)0.264367\right(0.514$

$25$

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$101|143$

$101$

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$1024|4267$

$4096$

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$1028|171$

$\therefore \sqrt{\frac{23}{87}}=0.514$.