Question

Rationalize the denominator of

1/3√5 +2√33​

Answer 1

$\huge \underline{ \underline{ \bf \purple{Solution :}}}$

$\implies \sf \frac{1}{3 \sqrt{5} + 2 \sqrt{33}} \\ \\ \implies \sf\frac{1}{3 \sqrt{5} + 2 \sqrt{33}} \times\frac{3 \sqrt{5} - 2 \sqrt{33} }{3 \sqrt{5} - 2 \sqrt{33}} \\ \\\implies \sf \frac{3 \sqrt{5} - 2 \sqrt{33} }{ {(3 \sqrt{5} )}^{2} - {(2 \sqrt{33}) }^{2} } \\ \\ \implies \sf \frac{3 \sqrt{5} - 2 \sqrt{33} }{45 - 132} \\ \\ \implies \sf - \frac{3 \sqrt{5} - 2 \sqrt{33} }{87}$