√27b

To simplify \( \sqrt{27b} \), you can break it down into its factors.

First, note that:

\[ 27 = 9 \times 3 = 3^2 \times 3 \]

So we can rewrite \( \sqrt{27b} \) as:

\[ \sqrt{27b} = \sqrt{9 \times 3 \times b} = \sqrt{9} \times \sqrt{3b} \]

Since \( \sqrt{9} = 3 \), we have:

\[ \sqrt{27b} = 3 \sqrt{3b} \]

Thus, the simplified form of \( \sqrt{27b} \) is:

\[ 3\sqrt{3b} \]