# What is the square root of 80?

What is the square root of 80?
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Elois Puryear
By the properties of square roots:
$\sqrt{80}=\sqrt{4×20}$
$=\sqrt{4×4×5}$
$=4\sqrt{5}$
An approximate decimal answer is 8.944.
###### Not exactly what you’re looking for?
recoronarrv
Given:
$\sqrt{80}$
Prime factorize 80.
$\sqrt{2×2×2×2×5}$
Group the same prime factors in pairs.
$\sqrt{\left(2×2\right)×\left(2×2\right)×5}$
Rewrite each pair in exponent form.
$\sqrt{{2}^{2}×{2}^{2}×5}$
Apply rule: $\sqrt{{a}^{2}}=a$
$2×2\sqrt{5}$
$4\sqrt{5}$