Identify Prime Factors: Identify the prime factors of the number under the square root to simplify the expression. Group into Pairs: Group the prime factors into pairs of the same number to find perfect squares. Take Square Root: Take the square root of the perfect square and multiply it by the number outside the square root. Perform Multiplication: Perform the multiplication to simplify the expression. Multiply Remaining Factors: Multiply the result by the square root of any remaining prime factors that were not part of a perfect square. Write Final Expression: Write the final simplified expression.

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$4\sqrt{12}$

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4\sqrt{12}

Simplify square root of $12$ : Simplify the square root of $12$ by finding its prime factors. $\newline$ $\sqrt{12} = \sqrt{(4 \times 3)} = \sqrt{4} \times \sqrt{3} = 2\sqrt{3}$
Multiply by $4$ : Multiply the simplified square root by $4$ . $\newline$ $4 \times 2\sqrt{3} = 8\sqrt{3}$