Question

retionalise the following
$\frac{1}{\sqrt{7 - 2} }$
​

Answer 1

$\rm \:\frac{1}{\sqrt{7 } - 2}$

$\frac{1( \sqrt{7} + 2)}{(\sqrt{7} - 2)(\sqrt{7} + 2)}$

$\frac{ \sqrt{7} + 2 }{ { (\sqrt{7} })^{2} - {(2)}^{2} }$

$\frac{ \sqrt{7} + 2 }{7 - 4}$

$\frac{ \sqrt{7} + 2}{3}$

$\rm \: \mathfrak{So \: the \: answer \: is \: \frac{ \sqrt{7} + 2 }{3} }$