Question

rationalise the denominator of 5/root7-root2

Answer 1

Hey !
Here is your answer !! (:
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➡ 5 / √ 7 - √2

➡ 5 × ( √7 + √2 ) / ( √7 - √2 ) ( √7 + √2 )

➡ 5 × (√ 7 + √2 ) / ( √7)2 - (√2)2

➡ 5 × ( √7 + √2 ) / 7 - 2

➡ 5 × ( √7 + √2 ) / 5

➡ √ 7 + √ 2

Hope it helps you !! (:

Answer 2

Your Question with Answer ( Step By Step ) :
$\frac{5}{ \sqrt{7} - \sqrt{2} } \\ = \frac{5}{ \sqrt{7} - \sqrt{2} } \times \frac{ \sqrt{7} + \sqrt{2} }{ \sqrt{7} + \sqrt{2} } \\ = \frac{(5) \times ( \sqrt{7} + \sqrt{2}) }{ {( \sqrt{7} )}^{2} - {( \sqrt{2}) }^{2} } \\ = \frac{(5) \times ( \sqrt{7} + \sqrt{2}) }{7 - 2} \\ = \frac{(5) \times ( \sqrt{7} + \sqrt{2}) }{(5)} \\ = \sqrt{7} + \sqrt{2}$
THERE YOU GO!!!.....