Question

write the rationalising factor of the denominater in 1/√2+√3.

Answer 1

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Answer 2

$Rationalising \ factor = \frac{ \sqrt{2}- \sqrt{3} }{ \sqrt{2}- \sqrt{3} } \\\\ \\\\ Solution : \\\\ \frac{1}{\sqrt{2} + \sqrt{3}} \\\\ \frac{1} {\sqrt{2} + \sqrt{3}} \ X \ \frac{\sqrt{2} - \sqrt{3}}{\sqrt{2} - \sqrt{3}} \ -----------( rationlising \ denominator) \\\\ \frac{\sqrt{2} - \sqrt{3}}{2 - 3} \ ----------[ \ (a+b) (a-b) = a^2 - b^2 \ ] \\\\ \frac{\sqrt{2} - \sqrt{3}}{-1} \\\\ \ - ( \sqrt{2} - \sqrt{3} ) \\\\ -\sqrt{2} + \sqrt{3}$

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