Question

Rationalize the denominator root 5 + root 3 e upon root 5 minus root 3

Answer 1

Answer:

hope it helps you and Satisfied your question.

Answer 2

Answer:

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According to question:

$Rationalize \: the \: denominator \: of:-$

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

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

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

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

$= \frac{5 + 3 + \sqrt[2]{15} }{2}$

$= \frac{8 + \sqrt[2]{15} }{2}$

$= \frac{2(4 + \sqrt{15}) }{2}$

Cancelling 2 with 2:-

$= 4 + \sqrt{15} \: </em><em>Answer:</em><em>-</em><em>$

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