Question

Rationalise the denominator ___ 3____

√7 - √10
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Answer 1

Step-by-step explanation:

$( \sqrt{7} - \sqrt{10} ) \\ = ( \sqrt{7} - \sqrt{10} ) \times \frac{( \sqrt{7} + \sqrt{10} )}{ ( \sqrt{7} + \sqrt{10} )} \\ = \frac{ {( \sqrt{7} )}^{2} - {( \sqrt{10}) }^{2} }{( \sqrt{7} + \sqrt{10} )} \\ = \frac{7 - 10}{ \sqrt{7} + \sqrt{10} } \\ = \frac{2}{ \sqrt{7} + \sqrt{10} }$