# What is the perfect square factor of 80?

Apr 23, 2018

16

#### Explanation:

80 is divisible by 16, the answer to which is 5

16 is a perfect square, since it is ${4}^{2}$

$\sqrt{80}$

=$\sqrt{16 \cdot 5}$

=$4 \sqrt{5}$

Apr 23, 2018

$80$ has a few factors that are perfect squares, namely $1 , 4$ and $16$. For simplifying a radical we pick the biggest: $\sqrt{80} = \sqrt{16 \cdot 5} = 4 \sqrt{5}$.