Simplify √48

(1 point)

1 answer

To simplify \( \sqrt{48} \), we can start by factoring 48 into its prime factors:

\[ 48 = 16 \times 3 = 4^2 \times 3 \]

Now, we can write the square root as:

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

Since \( \sqrt{16} = 4 \), we have:

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

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

\[ \boxed{4\sqrt{3}} \]