# How do you find the square root of 7/2?

Mar 2, 2018

Between 1.5 and 2

#### Explanation:

$\sqrt{\frac{7}{2}}$

$\frac{\sqrt{7}}{\sqrt{2}}$

$\frac{\sqrt{7} \sqrt{2}}{\sqrt{2} \sqrt{2}}$

$\frac{\sqrt{14}}{2}$

$\sqrt{14}$ is between $3$ (${3}^{2} = 9$) and $4$ (${4}^{2} = 16$)

The answer is somewhere between $\frac{3}{2}$ and $\frac{4}{2}$

$1.5 < \sqrt{\frac{7}{2}} < 2$