\( \sqrt{150}=\square \) (Simplify your answer. Type an exact answer, using radicals as needed.)
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To simplify \( \sqrt{150} \), we can start by breaking down 150 into its prime factors. We have \( 150 = 2 \times 3 \times 5^2 \). Now, we can re-write \( \sqrt{150} \) using these factors: \[ \sqrt{150} = \sqrt{2 \times 3 \times 5^2} \] We can simplify this further because \( \sqrt{5^2} = 5 \): \[ \sqrt{150} = 5 \times \sqrt{2 \times 3} \] \[ = 5 \sqrt{6} \] So, the simplified form of \( \sqrt{150} \) is \( 5\sqrt{6} \).
