simplify√48

1 answer

To simplify \(\sqrt{48}\), we first factor 48 into its prime factors:

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

Next, we can express this in terms of its square roots:

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

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

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

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

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