Question

please do it rightly it is important​

Answer 1

Answer:

This problem requires you to rationalize the denominator

Step-by-step explanation:

Here are the steps:

We first multiply both the denominator and numerator of LHS by the conjugate of the denominator.

$\frac{(\sqrt{2} +\sqrt{3})(3\sqrt{2}+2\sqrt{3})}{(3\sqrt{2}-2\sqrt{3})(3\sqrt{2}+2\sqrt{3}) }$

$\frac{ 6+2\sqrt{6} +3\sqrt{6}+6}{ (3\sqrt{2} )^{2}-(2\sqrt{3})^{2} }$

$\frac{12+5\sqrt{6}}{ 18-12}$

$\frac{12}{6}+\frac{5\sqrt{6} }{6}$

$2+\frac{5\sqrt{6}}{6}$

On comparing this with the RHS we can see that

a = 2 and b = $\frac{5}{6}$