Question

Rationalise the denominator

Answer 1

hope it's help you.....

Answer 2

Step-by-step explanation :

$\bf \frac{1}{1 + \sqrt{5} + \sqrt{3} } \\ \\ \sf \frac{1}{1 + ( \sqrt{5 }+ \sqrt{3} ) } \times \frac{1 + \sqrt{5 }- \sqrt{3} }{1 + \sqrt{5} - \sqrt{3} } \\ \\ \sf \frac{1 + \sqrt{5} + \sqrt{3} }{1 {}^{2} - ( \sqrt{5} + \sqrt{3}) {}^{2} } \\ \\ \sf \frac{1 + \sqrt{5} - \sqrt{3} }{1 - 5 - 3 + 2 \sqrt{15} } \\ \\ \sf \frac{1 + \sqrt{5} - \sqrt{3} }{2 \sqrt{15} - 7 }$