Question

rationalis the denominator 1 upon root 2 + root 3 + root 10

Answer 1

Hey mate!!

✴ RATIONALISATION ✴

$\frac{1}{ \sqrt{2} + \sqrt{3} + \sqrt{10} } \\ \\ \frac{1}{ \sqrt{2} + \sqrt{3} + \sqrt{10} } \times \frac{ \sqrt{2} + \sqrt{3} - \sqrt{10} }{ \sqrt{2} + \sqrt{3} - \sqrt{10} } \\ \\ \frac{ \sqrt{2} + \sqrt{3} - \sqrt{10} }{( \sqrt{2} + \sqrt{3}) {}^{2} - ( \sqrt{10} ) {}^{2} } \\ \\ \frac{ \sqrt{2} + \sqrt{3} - \sqrt{10} }{2 + 2 \sqrt{6} + 3 - 10} \\ \\ \frac{ \sqrt{2} + \sqrt{3} - \sqrt{10} }{2 \sqrt{6} - 5}$

Thanks for the question!


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