Math, asked by papiyajal, 5 hours ago

Rationalise the denominator of 1 / (√3 - √5)​

Answers

Answered by devendrabhardwaj1979
2

Answer:

1/3+5= 1/8

Step-by-step explanation:

PLEASE MARK BRAINLIEST

Answered by amansharma264
5

EXPLANATION.

Rationalize the denominator.

\sf \implies \dfrac{1}{\sqrt{3} - \sqrt{5} }

As we know that,

We can write equation as,

\sf \implies \dfrac{1}{\sqrt{3} - \sqrt{5} }  \times \dfrac{\sqrt{3} + \sqrt{5} }{\sqrt{3} + \sqrt{5} }

\sf \implies \dfrac{\sqrt{3} + \sqrt{5} }{[(\sqrt{3})^{2}  - (\sqrt{5})^{2} ] }

\sf \implies \dfrac{\sqrt{3} + \sqrt{5} }{[3 -  5] }  = \dfrac{\sqrt{3}+ \sqrt{5} }{- 2}

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