# How do you simplify 8sqrt27?

Jul 13, 2016

=$24 \sqrt{3}$

#### Explanation:

27 is not a perfect square and therefore does not have an exact square root.

Express 27 as the product of its prime factors.

$8 \sqrt{27} = 8 \sqrt{3 \times 3 \times 3} \text{ group factors in pairs}$

=$8 \sqrt{{3}^{2} \times 3} \text{ find root where possible}$

=$8 \times 3 \sqrt{3}$

=$24 \sqrt{3}$