Question

simplify by rationalizing the denominator:1/3√2-2√3

Answer 1

the answer is 3 root2 +2root3 by 6

Answer 2

Heya !!

$\frac{1}{3 \sqrt{2} - 2 \sqrt{3} }$

On rationalizing the denominator we get,

$= \frac{1}{3 \sqrt{2} - 2\sqrt{3} } \times \frac{ 3\sqrt{2} + 2 \sqrt{3} }{3 \sqrt{2} + 2 \sqrt{3} } \\ \\ = \frac{3 \sqrt{2} + 2 \sqrt{3} }{ {(3 \sqrt{2} )}^{2} - {(2 \sqrt{3} )}^{2} } \\ \\ = \frac{3 \sqrt{2} + 2 \sqrt{3} }{18 - 12} \\ \\ = \frac{3 \sqrt{2} + 2 \sqrt{3} }{6}$

Hope this helps ☺