Question

rationalisation the denominator of √5-√3 by 2-√3​

Answer 1

Step-by-step explanation:

to rationalize multiply both denominator and numerator with 2+√3 ..you will get the answer

Answer 2

The Question is $\frac{ \sqrt{5} - \sqrt{3} }{2 - \sqrt{3} }$

Rationalize with numerator and denominator by 2 + root 3

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

$=> \frac{2 \sqrt{5} + \sqrt{15} - 2 \sqrt{3} - 3 }{ ({2})^{2} - ({ \sqrt{3}) }^{2} }$

$=> \frac{2 \sqrt{5} + \sqrt{15} - 2 \sqrt{3} - 3}{4 - 3}$

$=> 2 \sqrt{5} + \sqrt{15} - 2 \sqrt{3} - 3$

Hope its helpful for you.

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