Question

rationalise the denominator of ​

Answer 1

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Answer 2

ANSWER:-

GIVEN:-

$\frac{5}{ \sqrt{5} - \sqrt{2} }$

CALCULATION :-

$= \frac{5}{ \sqrt{5} - \sqrt{2} } \times \frac{ \sqrt{5} + \sqrt{2} }{\sqrt{5} + \sqrt{2}} \\ = \frac{5(\sqrt{5} + \sqrt{2})}{( \sqrt{5} - \sqrt{2} ) \times ( \sqrt{5} + \sqrt{2}) } \\ = \frac{5 \sqrt{5} + 5 \sqrt{2} }{(\sqrt{5} - \sqrt{2} ) \times ( \sqrt{5} + \sqrt{2})}$

USE THIS FORMULA,

(a-b) (a+b)=a²-b²

THEN WE GET,

$= \frac{5 \sqrt{5} + 5 \sqrt{2} }{5 - 2} \\ = \frac{5 \sqrt{5} + 5 \sqrt{2} }{3}$