Simplify 48−−√

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1 answer

To simplify \( \sqrt{48} \), you can start by breaking it down into its prime factors:

\[ 48 = 16 \times 3 \]

Since \( 16 \) is a perfect square, you can rewrite the square root:

\[ \sqrt{48} = \sqrt{16 \times 3} = \sqrt{16} \times \sqrt{3} = 4\sqrt{3} \]

Thus, the simplified form of \( \sqrt{48} \) is:

\[ \sqrt{48} = 4\sqrt{3} \]