Question

solve this question step by step.​

Answer 1

$\large{\underline{\underline{\mathfrak{\green{\bf{Question:-}}}}}}$.

• Rationalize the denominator of $\frac{14}{5\sqrt{3}-\sqrt{5}}$.

$\large{\underline{\underline{\mathfrak{\green{\bf{Explanation:-}}}}}}$.

Given Here ,

$\implies\:\frac{14}{5\sqrt{3}-\sqrt{5}}$

Rationalized of Denominator

$\implies\frac{14(5\sqrt{3}+\sqrt{5})}{(5\sqrt{3}-\sqrt{5})(5\sqrt{3}+\sqrt{5}}$

$\implies\frac{14(5\sqrt{3}+\sqrt{5})}{(5\sqrt{3})^2-(\sqrt{5})^2}$

$\implies\frac{14(5\sqrt{3}+\sqrt{5})}{(75-5)}$

$\implies\:\frac{14(5\sqrt{3}+\sqrt{5})}{70}$

$\implies\boxed{\frac{(5\sqrt{3}+\sqrt{5})}{5}}$.

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Answer 2

ye raha tera answer.....................