Question
Express in simplest radical form.
square root of, 32, end square root
32
Answer
Attempt 1 out of 2
square root of, 32, end square root
32
Answer
Attempt 1 out of 2
Answers
GPT-4o mini
To simplify the square root of 32, we can factor it into its prime components:
\[
32 = 16 \times 2
\]
Since 16 is a perfect square (specifically, \(4^2\)), we can simplify the square root:
\[
\sqrt{32} = \sqrt{16 \times 2} = \sqrt{16} \times \sqrt{2} = 4\sqrt{2}
\]
Thus, the simplest radical form of \(\sqrt{32}\) is:
\[
\boxed{4\sqrt{2}}
\]
\[
32 = 16 \times 2
\]
Since 16 is a perfect square (specifically, \(4^2\)), we can simplify the square root:
\[
\sqrt{32} = \sqrt{16 \times 2} = \sqrt{16} \times \sqrt{2} = 4\sqrt{2}
\]
Thus, the simplest radical form of \(\sqrt{32}\) is:
\[
\boxed{4\sqrt{2}}
\]