Simplify by rationalising denominator: 6/3√2-2√3

1.	Simplify by rationalising denominator: 6/3√2-2√3
Answer» $\huge\sf\green{Answer}$ $3 \sqrt{2} + 2 \sqrt{3}$ $\huge\sf\pink{ Explanation:}$ $\frac{6}{3 \sqrt{2} - 2 \sqrt{3} }$ $➩ \:\: \frac{6}{3 \sqrt{2} - 2 \sqrt{3} } \times \frac{3 \sqrt{2} + 2 \sqrt{3} }{3 \sqrt{2} + 2 \sqrt{3} }$ $➩ \:\:\frac{6 \: (3 \sqrt{2} + 2 \sqrt{3}) }{(3 \sqrt{2} - 2 \sqrt{3}) \times (3 \sqrt{2} + 2 \sqrt{3} )}$ $➩ \: \:\frac{18 \sqrt{2} + 12 \sqrt{3} }{( {3 \sqrt{2} )}^{2} - ( {2 \sqrt{3} )}^{2} }$ $➩ \: \:\frac{18 \sqrt{2} + 12 \sqrt{3} }{18 \: - 12}$ $➩ \:\:\frac{6 \: (3 \sqrt{2} + 2 \sqrt{3} )}{6}$ $➩ \:\:3 \sqrt{2} + 2 \sqrt{3}$ $\boxed{3√2 + 2√3}$

Answer»

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