Question

rationalise the denominator of 1/√2-√5​

Answer 1

Answer:

√5-√2/3 is the answer...

Answer 2

$\frac{1}{\sqrt{2} - \sqrt{5} }$

Multiplying √2 +√5​ with denominator as well as numerator,

$\frac{1 (\sqrt{2} +\sqrt{5}) }{(\sqrt{2} -\sqrt{5} ) ( \sqrt{2} + \sqrt{5} )}$

Then, Using formula, ( A + B )  ( A - B )  = A^2 - b^2

$= \frac{\sqrt{2} + \sqrt{5} }{( 2 -5 )} \\\\= \frac{\sqrt{2} + \sqrt{5} }{( -3 )}$

Hence, Now the denominator is a rational number.