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The square root of 7/2 (seven halves) multiplied by the square root of 5/3 (five thirds)

Guest Apr 2, 2017
#1
+7155
+3

$$\sqrt{\frac72}*\sqrt{\frac53}=\sqrt{\frac72*\frac53}=\sqrt{\frac{7*5}{2*3}}=\sqrt{\frac{35}{6}} \\~\\=\frac{\sqrt{35}}{\sqrt{6}}*\frac{\sqrt6}{\sqrt6}=\frac{\sqrt{35*6}}{6}=\frac{\sqrt{210}}{6} \\~\\ \approx 2.415$$

hectictar  Apr 2, 2017
#2
+1

-(I posted the original question)

Guest Apr 2, 2017
#3
+7155
+2

Either $$\sqrt{\frac{35}{6}}$$   or   $$\frac{\sqrt{210}}{6}$$

No need to be sorry! I'm not really sure which one is considered simpler. My guess is the second one.

hectictar  Apr 2, 2017