Question

simplify each of the following by rationalising the denominator 1/3√2-2√3​

Answer 1

$\huge\tt{Given:-}$

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

$\tt{Rationalise \: it }$

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

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

$\tt{Use \: (a^{2}-b^{2}) \: in \: Denominator}$

$\sf{\frac{3\sqrt{2}+2\sqrt{3}}{18-12}}$

$\sf\boxed{\frac{3\sqrt{2}+2\sqrt{3}}{6}}$

$\tt{ \underline{ \underline{THANKS}}}$