Question

Rationalise: 3-root 2 by 3 +root 2

Answer 1

3-√2/3+√2×3-√2/3-√2
= 3-2/9-2
=1/7
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Answer 2

$\frac{(3 - \sqrt{2})(3 - \sqrt{2)} }{(3 + \sqrt{2})(3 - \sqrt{2} ) } \\ = \frac{ {(3 - \sqrt{2}) }^{2} }{3 - 2} \\ = 9 + 2 - 6 \sqrt{2 } \\ = 11 - 6 \sqrt{2} \: \: ans$