Question

simplify by rationalizing the denominator 1/✓7+✓6-✓3

Answer 1

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□RATIONALISE:

$\frac{1}{ \sqrt{7} + ( \sqrt{6} - \sqrt{3} )} \times \frac{ \sqrt{7} - ( \sqrt{6 } - \sqrt{3} ) }{ \sqrt{7} - ( \sqrt{6} - \sqrt{3} )} \\ \\ = > \frac{ \sqrt{7} - \sqrt{6} + \sqrt{3} }{7 - 6 + 3 - 2 \sqrt{18} } \\ \\ = > \frac{ \sqrt{7} - \sqrt{6} + \sqrt{3} }{4 - 6 \sqrt{2} }$

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