Question

Find the square root of
$4 \times \frac{565}{729}$
​

Answer 1

Answer:

$\frac{2 \sqrt{35} }{9}$

Step-by-step explanation:

$\sqrt{4 \times \frac{565}{729} } = \sqrt{4} \times \sqrt{ \frac{565}{729} }$

$\: \: \: \: \: =2 \times \frac{ \sqrt{5} \times \sqrt{7} \times \sqrt{9} }{9 \sqrt{9}}$

$\: \: \: \: \: =2 \times \frac{ \sqrt{5} \times \sqrt{7} }{9}$

$\: \: \: \: \: = \frac{2 \sqrt{35} }{9}$

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