Answer: [tex]\frac{\sqrt{77}}{22}[/tex]
Step-by-step explanation:
Given:
[tex]\frac{\sqrt{7}}{2\sqrt{11}}[/tex]
Since the denominator is a surd , to simplify , all we need do is to rationalize
That is
[tex]\frac{\sqrt{7}}{2\sqrt{11}}[/tex] ×[tex]\frac{\sqrt{11}}{\sqrt{11}}[/tex]
⇒ [tex]\frac{\sqrt{77}}{2(11)}[/tex]
⇒ [tex]\frac{\sqrt{77}}{22}[/tex] which is the simplified form of [tex]\frac{\sqrt{7}}{2\sqrt{11}}[/tex]
