Question

rationalize the denominator ​

Answer 1

Answer :-

$\implies \cfrac{7( \sqrt{5} + \sqrt{2}) }{3}$

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To Do :-

• Rationalise the Denominator.

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Step By Step Solution :-

$\implies \cfrac{7}{ \sqrt{5} - \sqrt{2} } \\ \\ \implies \cfrac{7}{ \sqrt{5} - \sqrt{2} } \times \frac{ \sqrt{5} + \sqrt{2} }{ \sqrt{5} + \sqrt{2} } \\ \\ \implies \cfrac{7( \sqrt{5} + \sqrt{2}) }{ { (\sqrt{5}) }^{2} - {( \sqrt{2 )} }^{2} } \\ \\ \implies \cfrac{7( \sqrt{5} + \sqrt{2}) }{5 - 2} \\ \\ \implies \cfrac{7( \sqrt{5} + \sqrt{2}) }{3}$

Therefore$\implies \cfrac{7( \sqrt{5} + \sqrt{2}) }{3}$ is the correct answer

Hence Rationalised.

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Formula Used :-

• ( x - y ) ( x + y ) = x² - y²

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