Question

if √2=1.414,√5=2.236 and √3=1.732, find the value of √125/64

Answer 1

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Answer 2

Hey friend,
Here is the answer you were looking for:
$\sqrt{ \frac{125}{64} }$

On splitting we get,

$\sqrt{ \frac{5 \times5 \times 5}{4 \times 4 \times 4} }$
$\sqrt{ \frac{5 \times5 \times 5}{4 \times 4 \times 4} } \\ \\ = \frac{5 \sqrt{5} }{4 \sqrt{4} } \\ \\ = \frac{5 \sqrt{5} }{4 \sqrt{2 \times 2} } \\ \\ = \frac{5 \sqrt{5} }{4 \times 2} \\ \\ = \frac{5 \sqrt{5} }{8} \\ \\ = \frac{5 \times 2.236}{8} \\ \\ = \frac{11.18}{8} \\ \\ = 1.397(approx)$

Hope this helps!!

If you have any doubt regarding to my answer, feel free to ask in the comment section or inbox me if needed.

@Mahak24

Thanks...
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