What is 18−−√ simplified?(1 point

Answer 1

The expression \( \sqrt{18} \) can be simplified by breaking it down into its prime factors.

1. First, factor 18: \[ 18 = 9 \times 2 \] Since 9 is a perfect square, we can rewrite the square root: \[ \sqrt{18} = \sqrt{9 \times 2} \]

2. Now, separate the square root into two parts: \[ \sqrt{18} = \sqrt{9} \times \sqrt{2} \]

3. Since \( \sqrt{9} = 3 \), we have: \[ \sqrt{18} = 3\sqrt{2} \]

Thus, the simplified form of \( \sqrt{18} \) is \( 3\sqrt{2} \).