Question

rationlize the denominator of root 3+root2 upon root 3 - root 2​

Answer 1

Hi there!

Multiply denominator and numerator by it's conjugate.

$\frac{ \sqrt{3} + \sqrt{2} }{ \sqrt{3 } - \sqrt{2} } \times \frac{ \sqrt{3} + \sqrt{2} }{ \sqrt{3} + \sqrt{2} } \\ \\ \frac{ { (\sqrt{3} + \sqrt{2} ) }^{2} }{3 - 2} \\ \\ \frac{3 + 2 + 2. \sqrt{2}. \sqrt{3} }{1} \\ \\ \frac{5 + 2\sqrt{6} }{1}$

Identity used :- (a+b)²= a²+b²+2ab

Thankyou :)