Question

Simplify √7 over 2 √11

Answer 1

Answer: $\frac{\sqrt{77}}{22}$

Step-by-step explanation:

Given:

$\frac{\sqrt{7}}{2\sqrt{11}}$

Since the denominator is a surd , to  simplify , all we need do is to rationalize  

That is

$\frac{\sqrt{7}}{2\sqrt{11}}$ ×$\frac{\sqrt{11}}{\sqrt{11}}$

⇒ $\frac{\sqrt{77}}{2(11)}$

⇒ $\frac{\sqrt{77}}{22}$ which is the simplified form of $\frac{\sqrt{7}}{2\sqrt{11}}$