Question

rationalise the denominator 1 over 3 root 5 + 2 root 2​

Answer 1

Step-by-step explanation:

$\frac{1}{3 \sqrt{5} + 2 \sqrt{2} }$

Multiplying and dividing by

$3 \sqrt{5} - 2 \sqrt{2}$

We get,

$\frac{3 \sqrt{5} - 2 \sqrt{2} }{ 3 \times 3 \times \sqrt{5} \times \sqrt{5} - 2 \times 2 \times \sqrt{2} \times \sqrt{2} } \\ \\ \frac{3 \sqrt{5} - 2 \sqrt{2}}{45 - 8} \\ \\ \frac{3 \sqrt{5} - 2 \sqrt{2} }{37}$