Question

Rationalise the denominato of 2 upon √5+√3​

Answer 1

Answer:

root 5 - root 3..........

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Answer 2

Step-by-step explanation:

$\Rationalizing{}$

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

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

using

$\green{(a+b)(a-b)=a^2-b^2}$

$\frac{2 \sqrt{5} - 2\sqrt{3} }{( \sqrt{5}) {}^{2} - ( \sqrt{3} ) {}^{2} }$

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

$\frac{2( \sqrt{5} - \sqrt{3} )}{2}$

$\sqrt{5} - \sqrt{3}$

$\blue{Hence}$

$\Red{Rationalzed}$