Question

rationalise the denominator of 1/ root 3+2​

Answer 1

$\huge\mathtt{\underline{\red{SOLUTION:-}}}$

Rationalization:-

$\sf\implies \frac{1}{\sqrt{3}+2}$

we rationalize this by their denominator and it's denominator is

$\sf \sqrt{3}+2$

Then :-

$\underline{\underline{\red{\sf{According\:to\: question:-}}}}$

$\sf\longrightarrow \frac{1}{\sqrt{3}+2}\times \frac{\sqrt{3}-2}{\sqrt{3}-2}\\ \\ \sf\longrightarrow \frac{\sqrt{3}-2}{(\sqrt{3}){}^{2}-(2){}^{2}}\\ \\ \sf\longrightarrow \frac{\sqrt{3}-2}{3-2}\\ \\ \sf\longrightarrow \frac{\sqrt{3}-2}{1}\\ \\ \sf\implies \sqrt{3}-2$