Question

Rationalize the denominator of 2/√5+√3​

Answer 1

Answer:

2/√5 + √3

multiply both numerator and denominator by the conjugate of the denominator i.e. √5 - √3

=> 2(√5 - √3)/(√5 + √3)(√5 - √3)

=> 2(√5 - √3)/(5 - 3)

=> 2(√5 - √3 ) /2

=> √5 - √3

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Answer 2

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Answer:-

$= > \boxed{ { \sqrt{5} - \sqrt{3} }{} }$

To find:-

Rationalize the denominator of

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

Solution:-

Multiply both numerator and denominator by the conjugate of the denominator i.e. √5 - √3

$= > \frac{2}{ \sqrt{5} + \sqrt{3} }\\ = > \frac{2}{ \sqrt{5} + \sqrt{3} } \times \frac{\sqrt{5} - \sqrt{3}}{\sqrt{5} - \sqrt{3}} \\ = > \frac{2\: (\sqrt{5} - \sqrt{3}) }{5 - 3} \\ = > \frac{2\: (\sqrt{5} - \sqrt{3}) }{2} \\\blue{ = >{ \boxed { { \sqrt{5} - \sqrt{3} }{} }}}$

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