Question

rationalise the denominator of 1 / root 5 minus 2​

Answer 1

$\textbf{\pink{\large{\underline{\underline{Step by step Explanation:-}}}}}$

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

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

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

$\mathtt{\implies{\frac{\sqrt{5}+2}{5-4}}}$

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

$\mathtt{\implies{\sqrt{5}+2}}$

$\textit{\red{\large{Hope it helps you..}}}$