Question

Plz solve this sum rationalise its denominator solve it fast plz

Answer 1

Answer :-

$= \frac{1}{3 - 2 \sqrt{2} + \sqrt{5} } \times \frac{3 + 2 \sqrt{2} - \sqrt{5} }{3 + 2 \sqrt{2} - \sqrt{5} } \\ \\ = \frac{3 + 2 \sqrt{2} - \sqrt{5} }{9 - 8 - 5} \\ \\ = \frac{3 + 2 \sqrt{2} - \sqrt{5} }{ - 4} \\ \\ = 3 + 2 \sqrt{2} - \sqrt{5} + 4 \\ \\ = 7 + 2 \sqrt{2} - \sqrt{5}$

Answer is $\color{Red}{7+2\sqrt{2}-\sqrt{5}}$