# (2?7-?5) /(?7+?5) simplify by rationalizing ?

$\begin{array}{l}\text{given}\ \frac{\left(2\sqrt{7}-\sqrt{5}\right)}{\left(\sqrt{7}+\sqrt{5}\right)}\\ \text{Multiplying by}\ \left(\sqrt{7}-\sqrt{5}\right)\ \text{in both denominator and numerator}\\ \Rightarrow\frac{\left(2\sqrt{7}-\sqrt{5}\right)}{\left(\sqrt{7}+\sqrt{5}\right)}\times\frac{\left(\sqrt{7}-\sqrt{5}\right)}{\left(\sqrt{7}-\sqrt{5}\right)\ }\Rightarrow\frac{\left(\left(2\times7\right)-\sqrt{35}-2\sqrt{35}+5\right)}{7-5}\Rightarrow\frac{\left(19+3\sqrt{35}\right)}{2}\end{array}$

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