How would you simplify $\sqrt{\frac{7}{2}}$ $sqrt(7/2)$ ?

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How would you simplify $\sqrt{\frac{7}{2}}$ $sqrt(7/2)$ ?

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Answer 1 · 2016-01-27T21:18:41

$\sqrt{\frac{7}{2}} = \frac{\sqrt{14}}{2}$ $sqrt(7/2)=sqrt(14)/2$

Explanation:

The target is to obtain the square root only at the numerator with a Rationalisation

$\sqrt{\frac{7}{2}} = \frac{\sqrt{7}}{\sqrt{2}} = \frac{\sqrt{7}}{\sqrt{2}} \cdot \frac{\sqrt{2}}{\sqrt{2}} = \frac{\sqrt{7 \cdot 2}}{2} = \frac{\sqrt{14}}{2}$ $sqrt(7/2)=sqrt(7)/sqrt(2)=sqrt(7)/sqrt(2)*sqrt(2)/sqrt(2)=sqrt(7*2)/2=sqrt(14)/2$

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