Answer:
[tex]\frac{\sqrt{77} }{22}[/tex]
Step-by-step explanation:
Note that [tex]\sqrt{a}[/tex] × [tex]\sqrt{a}[/tex] = a
To simplify the fraction we require the denominator to be rational.
This is achieved by multiplying the numerator/ denominator by [tex]\sqrt11}[/tex]
[tex]\frac{\sqrt{7} }{2\sqrt11} }[/tex] × [tex]\frac{\sqrt{11} }{\sqrt{11} }[/tex]
= [tex]\frac{\sqrt{7(11)} }{2(11)}[/tex]
= [tex]\frac{\sqrt{77} }{22}[/tex]
