Question

solve..................

with full EXPLAINATION​

Answer 1

The answer comes to 2 as the value of a

Answer 2

Answer:

a=-2

Step-by-step explanation:

Given :$\frac{6}{3\sqrt{2}-2\sqrt{3}}=3\sqrt{2}-a\sqrt{3}$

To Find :  Value of a

Solution :

LHS = $\frac{6}{3\sqrt{2}-2\sqrt{3}}$

Rationalize

$\frac{6}{3\sqrt{2}-2\sqrt{3}} \times \frac{3\sqrt{2}+2\sqrt{3}}{3\sqrt{2}+2\sqrt{3}}$

$\frac{6(3\sqrt{2}+2\sqrt{3})}{18+6\sqrt{6}-6\sqrt{6}-12}$

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

$3\sqrt{2}+2\sqrt{3}$

On comparing with RHS

a=-2

Hence the value of a is -2