https://file.aiquickdraw.com/mathbot/file/1729884253802zkagyq46.jpg

The expression you need to simplify is \(\sqrt{18}\). Let's break it down.

We can express \(18\) as a product of perfect squares:

\[
\sqrt{18} = \sqrt{9 \times 2} = \sqrt{9} \times \sqrt{2} = 3\sqrt{2}
\]

So, \(\sqrt{18}\) simplifies to:

\[
3\sqrt{2}
\]

Would you like a further explanation on the steps? Here are some related questions:

1. How do you simplify other square roots involving non-perfect squares?
2. What is the difference between simplifying \(\sqrt{18}\) and estimating its decimal value?
3. Can all square roots be simplified in this way?
4. What are examples of other square roots that simplify similarly to \(\sqrt{18}\)?
5. How can simplifying square roots help in solving larger algebraic problems?

**Tip**: Always look for the largest perfect square factor of a number when simplifying square roots.

Learn how to simplify the square root of 18 by breaking it down into √9 * √2, resulting in 3√2. This guide provides clear instructions and helps students understand square root simplifications, suitable for Grades 7-10.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation