# How do you simplify 4\sqrt{3}+2\sqrt{12}?

May 29, 2018

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#### Explanation:

Simplify:

$4 \sqrt{3} + 2 \sqrt{12}$

We can only add or subtract numbers with radicals if the radicals are the same.

Prime factorize $\sqrt{12}$.

$4 \sqrt{3} + 2 \sqrt{2 \times 2 \times 3}$

Write the factorization in exponent form.

$4 \sqrt{3} + 2 \sqrt{{2}^{2} \times 3}$

Apply rule: $\sqrt{{a}^{2}} = a$

$4 \sqrt{3} + 2 \times 2 \sqrt{3}$

Simplify $2 \times 2$ to $4$.

$4 \sqrt{3} + 4 \sqrt{3}$

Simplify.

$8 \sqrt{3}$