Question

rationalise the denominator of 1/5*+2*
please tell me answer fast ​

Answer 1

Step-by-step explanation:

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

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

$= \frac{ \sqrt{5} - \sqrt{2} }{3}$

Hence , the denominator has been rationalised

I hope it helps you. If you have any doubts, then don't hesitate to ask.