How do you simplify $\sqrt{\frac{15}{7}}$ $sqrt(15/7)$ ?

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How do you simplify $\sqrt{\frac{15}{7}}$ $sqrt(15/7)$ ?

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Answer 1 · 2017-11-14T21:41:43

$\frac{\sqrt{105}}{7}$ $sqrt(105)/7$

or

$\frac{15}{\sqrt{105}}$ $15/sqrt(105$

Explanation:

Regular Calculator Answer:

$\sqrt{\frac{15}{7}} = \sqrt{\frac{15 \cdot 7}{7 \cdot 7}} = \sqrt{\frac{105}{49}} = \frac{\sqrt{105}}{\sqrt{49}} = \frac{\sqrt{105}}{7}$ $sqrt(15/7)=sqrt((15*7)/(7*7))=sqrt((105)/(49))=sqrt(105)/sqrt(49)=sqrt(105)/7$

Alternative Answer:

$\sqrt{\frac{15}{7}} = \sqrt{\frac{15 \cdot 15}{7 \cdot 15}} = \sqrt{\frac{225}{105}} = \frac{\sqrt{225}}{\sqrt{105}} = \frac{15}{\sqrt{105}}$ $sqrt(15/7)=sqrt((15*15)/(7*15))=sqrt((225)/(105))=sqrt(225)/sqrt(105)=15/sqrt(105$

and of course

$\frac{\sqrt{105}}{7} = \frac{15}{\sqrt{105}}$ $sqrt(105)/7=15/sqrt(105$

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How do you simplify $\sqrt{\frac{15}{7}}$ $sqrt(15/7)$ ?

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