Question

Simplify 1/5+root 2 by rationalising the denomenator

Answer 1

$\frac{1}{5 + \sqrt{2} } \\ \\ By Rationilzation, \\ \\ \\ \frac{5 - \sqrt{2} }{(5)^2 - ( \sqrt{2})^2 } \\ \\ \frac{5 - \sqrt{2} }{25 - 2 } \\ \\ \frac{5 - \sqrt{2} }{23}$



i hope this will help you



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Answer 2

Hello friends!!

Here is your answer :

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


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

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

Using identity :

( a + b ) ( a - b ) = a² + b²


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


$\frac{5 - \sqrt{2} }{25 - 2}$


$\frac{5 - \sqrt{2} }{23}$

Hope it helps you.. ☺️☺️☺️☺️

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