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

Guest Apr 2, 2017

#1**+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