Simplify.
\[
5 \sqrt{12}
\]

Answer

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Answer

Multiply the 5 with the simplified square root: \(5\sqrt{12} = 5(2\sqrt{3}) = 10\sqrt{3}\)

Steps

Step 1 ：Identify the prime factors of 12: \(12 = 2^2 \times 3\)

Step 2 ：Apply the square root of the factors: \(\sqrt{12} = \sqrt{2^2 \times 3} = 2\sqrt{3}\)

Step 3 ：Multiply the 5 with the simplified square root: \(5\sqrt{12} = 5(2\sqrt{3}) = 10\sqrt{3}\)