Question

find the square root of 25/12 by long division method step by step​

Answer 1

$by \: long \: division \: method \: - \\ \\ \\ \frac{25}{12 } = \: \frac{5 \times 5}{ 3 \times 2 \times 2} \\ \\ therefore \: - \\ \sqrt{ \frac{25}{12} } = \sqrt{ \frac{5 \times 5}{4 \times 3} }$

$= \sqrt{ \frac{25}{12} \: } = \: \sqrt{ \frac{5 \times 5}{2 \times 2 \times 3} } \\ \\ = \frac{5}{2 \sqrt{3} }$