How do you simplify radicals with numerator

Question

Square root of 18/3

I don't understand how you simplify this. No clue, I only understand to simplify the denominator. Thank You

How about just simplifying the fraction $\frac{18}{3}$? Or did you instead mean $\frac{\sqrt{18}}{3}$? — Patterns_43, Dec 04 '13 at 02:56
is it $\sqrt{\frac{18}{3}}$? or is it $\frac{\sqrt{18}}{3}$? — Eleven-Eleven, Dec 04 '13 at 02:58

score 0 · Answer 1 · answered Dec 04 '13 at 02:58

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If you are asking about $\frac{\sqrt{18}}{3}$ then $18=9 \cdot 2$ thus $\sqrt{18}=\sqrt{9}\sqrt{2}=3\sqrt{2}$.

If you want to simplify instead $\sqrt{\frac{18}{3}}$ then just simplify $18/3$.

answered Dec 04 '13 at 02:58

N. S.

Thank you. 3√2 is the right answer. I felt like I had to do a lot more to simplify that. – user113293 Dec 04 '13 at 03:06
@user113293 The final answer is then $\frac{3 \sqrt{2}}{3}=\sqrt{2}$... – N. S. Dec 04 '13 at 03:07
Wait, so were did you get the 3 on the denominator? – user113293 Dec 04 '13 at 03:22

score 0 · Accepted Answer · answered Dec 04 '13 at 08:10

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@user113293 $$\frac{\sqrt{18}}{3}=\frac{\sqrt{9}\sqrt{2}}{3}=\frac{3\sqrt{2}}{3}=\sqrt{2}$$

answered Dec 04 '13 at 08:10

Abraham Zhang

2 Answers2