Question

Rationalise the denominator 1/4+√2+√5​

Answer 1

Answer:

$\frac{1}{4+\sqrt{2}+\sqrt{5} } \\\\\implies \frac{1}{4+\sqrt{2}+\sqrt{5} }*\frac{4+\sqrt{2}-\sqrt{5} }{4+\sqrt{2}-\sqrt{5} } \\\\ \implies \frac{4+\sqrt{2}-\sqrt{5} }{(4+\sqrt{2} )^2-\sqrt{5}^2 } \\\\\implies \frac{4+\sqrt{2}-\sqrt{5} }{16+2+8\sqrt{2}-5 }\\\\ \implies \frac{4+\sqrt{2}-\sqrt{5} }{13+8\sqrt{2} }$