# How do you simplify sqrt(32/5)?

Apr 12, 2015

4sqrt(2/5

Since 32 is 16 times 2, 16 can be taken out of the radical sign as shown below:

sqrt(32/5 = 4sqrt(2/5.

If denominator is required to be simplified, this can be done by multiplying the numerator and the denominator by $\sqrt{5}$. The result would be 4$\frac{\sqrt{10}}{5}$