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

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: \(5\sqrt{12} = 5(2\sqrt{3}) = 10\sqrt{3}\)