Question

what is radical 54 simplified
A. 3 radical 6
B. 6 radical 9
C. 2 radical 27
D. 27 radical 2

Answer 1

To simplify \( \sqrt{54} \), we can factor 54 into its prime factors:

\[
54 = 2 \times 3^3
\]

Now we can take out any square factors from the radical:

\[
\sqrt{54} = \sqrt{2 \times 3^3} = \sqrt{2} \times \sqrt{3^2} \times \sqrt{3} = \sqrt{2} \times 3 \times \sqrt{3} = 3\sqrt{6}
\]

Thus, the simplified form of \( \sqrt{54} \) is \( 3\sqrt{6} \).

The answer is:

**A.** \( 3\sqrt{6} \)