Question

Simplify 3√2-2√3 by rationalising

Answer 1

Answer:

3√2-2√3.

Rationalising of 3√2-2√3 is 3√2+2√3.

Multiply by 3√2+2√3.

3√2-2√2×3√2+2√3.

It is in the form of (a-b)×(a+b)=a²-b² where a=3√2 & b=2√3.

3√2-2√3×3√2+2√3=(3√2)²-(2√3)².

=9×2-4×3.

=18-12.

=6.

I think this is your answer.