Question

Given that,
$\sqrt{2} = 1.414, \sqrt{3} = 1.732, \sqrt{5} = 2.236and \sqrt{7} = 2.646,$
find the square root of the
$\frac{392}{150}$
​

Answer 1

$\frac{ \sqrt{392} }{ \sqrt{150} } \\ \\ \frac{ \sqrt{2 \times 2 × 2 × 49} }{ \sqrt{25 × 2×3} } \\ \\ \frac{7 × 2× \sqrt{2} }{5 ×√2 ×√3} \\ \\ \frac{14 ×1.414}{5 \times 1.414 \times1.732 } \\ \\ \frac{19.796}{12.24524} \\ \\ 1.6166$