Question

1/3✓2-2✓3 please answer fast​

Answer 1

$Given \: \frac{1}{(3\sqrt{2} - 2\sqrt{3})}$

$= \frac{(3\sqrt{2} + 2\sqrt{3})}{(3\sqrt{2} - 2\sqrt{3})(3\sqrt{2} + 2\sqrt{3})}$

$= \frac{(3\sqrt{2} + 2\sqrt{3})}{(3\sqrt{2})^{2}- (2\sqrt{3})^{2}}$

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

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

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

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

Therefore.,

$\red{ \frac{1}{(3\sqrt{2} - 2\sqrt{3})}}$

$\green {= \frac{\sqrt{2}}{2} + \frac{\sqrt{3}}{3}}$

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