Question

rationalize the denominator 2/√3-√5 and simplify

don't post irrelevant things please​

Answer 1

✍️Question:-

$\rule{300}{1}$

$\red\implies$ Rationalize the denominator $\dfrac{2}{\sqrt{3} - \sqrt{5}}$ .

✍️How to solve?

• To rationalize a denominator multiply numerator and denominator by a radical that will get did of the radical denominator. Make sure all radicals are simplified. Simplify the fraction if needed.
• ☀️So, lets start

✍️Solution:-

$\implies \dfrac{2}{\sqrt{3} - \sqrt{5}}$

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

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

$= \dfrac{2\sqrt{3} + \sqrt{5}} {3 - 5}$

$= \dfrac{2\sqrt{3}+\sqrt{5}}{2}$

$= \sqrt{3} + \sqrt{5}$

✍️Answer:-

$\large {\boxed {\boxed {\tt {\red { Answer = \sqrt{3} + \sqrt{5}}}}}}$

______________________

___________________________

☃️Hence we are done with the problem.