Question

FIND THE VALUE OF ROOT10 -ROOT5 /2 ROOT2

Answer 1

V10-v5/2v2 = 3.16 -2.24/2x1.4l

= 0. 92/2.82=92/282

= 0.33 is the ans.

Answer 2

$\frac{ \sqrt{10} - \sqrt{5} }{2 \sqrt{2} }$

$\frac{ \sqrt{10} - \sqrt{5} }{ \sqrt{8} }$

Rationalising the denominator

$( \frac{ \sqrt{10} - \sqrt{5} }{ \sqrt{8} } ) \times \frac{ \sqrt{8} }{ \sqrt{8} }$

$\frac{ \sqrt{80} - \sqrt{40} }{8}$

$\frac{4 \sqrt{5} - 2 \sqrt{10} }{8}$

$\frac{2 \sqrt{5 } - \sqrt{10} }{4}$