Question

Rationalize the denominator of 3√2 / 3√2−2√2

Answer 1

Answer:

$3 \sqrt{2 } \div 3 \sqrt{2 } - 2 \sqrt{2} \\ denominator \\ = 3 \sqrt{2} - 2 \sqrt{2} \\ = (3 \sqrt{2} - 2 \sqrt{2} )(3 \sqrt{2} + 2 \sqrt{2} ) \\ = (3 \sqrt{2} ) {}^{2} - (2 \sqrt{2} ) {}^{2} \\ = 18 - 8 \\ = 10$