Question

10.) Rationalise the denominator of 1

√2+√3​

Answer 1

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

$= - \sqrt{2} + \sqrt{3} = \sqrt{3} - \sqrt{2}$

hope it helps

thank you ❤️