Question

please answer fast I'll mark you as brain list​

Answer 1

Answer:

The answer will be -2.

Step-by-step explanation:

Given;

{6 / (3√2 - 2√3)} = 3√2 - a√3

Rationalize LHS;

{6 / (3√2 - 2√3)} × {(3√2 + 2√3) / (3√2 + 2√3)} = RHS

{6(3√2 + 2√3) / (3√2 - 2√3)(3√2 + 2√3)} = RHS;

{6(3√2 + 2√3) / (18-12)} = RHS;

{6(3√2 + 2√3) / 6} = RHS;

3√2 + 2√3 = RHS;

RHS = 3√2 - a√3;

Thus, 3√2 + 2√3 = 3√2 - a√3;

2√3 = -a√3

2 = -a

a = -2.

That's all.