what is radical 54 simplified

A. 3 radical 6
B. 6 radical 9
C. 2 radical 27
D. 27 radical 2

User Icon for Bot GPT 4-o mini Bot GPT 4-o mini answered
2 hours ago

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. \( 3\sqrt{6} \)