Question

\(\dfrac{26}{2\sqrt{3}-5}\)

Answer 1

\(\dfrac{26}{2\sqrt{3}-5}\)

\(=\dfrac{26\left(2\sqrt{3}+5\right)}{\left(2\sqrt{3}-5\right)\left(2\sqrt{3}+5\right)}\)

\(=\dfrac{26\left(2\sqrt{3}+5\right)}{\left(2\sqrt{3}\right)^2-5^2}\)

\(=\dfrac{26\left(2\sqrt{3}+5\right)}{12-25}\)

\(=\dfrac{26\left(2\sqrt{3}+5\right)}{-13}\)

\(=-2\left(2\sqrt{3}+5\right)\)

\(=-4\sqrt{3}-10\)

Answer 2

\(=\dfrac{26\left(2\sqrt{3}+5\right)}{12-25}=-2\left(2\sqrt{3}+5\right)=-4\sqrt{3}-10\)