Question

Rationalise :
1/root2 + root3 -root5

Answer 1

$\frac{1}{ \sqrt{2}} + \sqrt{3} - \sqrt{5}$

= $\frac{1+ \sqrt{3}- \sqrt{5} }{ \sqrt{2} } * \frac{ \sqrt{2} }{ \sqrt{2} }$

= $\frac{1+2 \sqrt{3}-2 \sqrt{5} }{2}$

= $\frac{2(1+ \sqrt{3}+ \sqrt{5} )}{2}$

= $1 + \sqrt{3} - \sqrt{5}$