Question

simplify= 16/root 11-5

Answer 1

$$\begin{gathered} \frac{16}{\sqrt{11}-5} \\ =\frac{16}{\sqrt{11}-5}\times \frac{\sqrt{11}+5}{\sqrt{11}+5} \\ =\frac{16\left(\sqrt{11}+5\right)}{{\left(\sqrt{11}\right)}^2-{\left(5\right)}^2} \\ =\frac{16\left(\sqrt{11}+5\right)}{11-25} \\ =\frac{16\left(\sqrt{11}+5\right)}{-14} \\ =-\frac{8}{7}\left(\sqrt{11}+5\right) \end{gathered}$$