Question
simplify radical 48
Answers
GPT-4o mini
To simplify the radical \(\sqrt{48}\), we can start by factoring \(48\) into its prime factors:
\[
48 = 16 \times 3 = 4^2 \times 3
\]
Now we can rewrite the square root:
\[
\sqrt{48} = \sqrt{16 \times 3} = \sqrt{16} \times \sqrt{3}
\]
Since \(\sqrt{16} = 4\), we have:
\[
\sqrt{48} = 4 \sqrt{3}
\]
Therefore, the simplified form of \(\sqrt{48}\) is:
\[
4\sqrt{3}
\]
\[
48 = 16 \times 3 = 4^2 \times 3
\]
Now we can rewrite the square root:
\[
\sqrt{48} = \sqrt{16 \times 3} = \sqrt{16} \times \sqrt{3}
\]
Since \(\sqrt{16} = 4\), we have:
\[
\sqrt{48} = 4 \sqrt{3}
\]
Therefore, the simplified form of \(\sqrt{48}\) is:
\[
4\sqrt{3}
\]