Question

rationalise 1 by 1 + root2 -root3

Answer 1

HOLA..!!!

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

HOPE IT'LL HELP...:)