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Sergio039 [100]
3 years ago
9

Simplify √7 over 2 √11

Mathematics
1 answer:
RoseWind [281]3 years ago
7 0

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}}

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The numerator and denominator of a fraction are in the ratio of 3 to 5. If the numerator and denominator are both decreased by 2, the fraction is now equal to  \frac{1}{2}.

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