https://file.aiquickdraw.com/mathbot/file/1726048783235lonk5k9g.jpg

The expression you provided is:

\[
2\sqrt{2} + 5\sqrt{2} + 6\sqrt{2}
\]

To simplify this, notice that all terms involve \(\sqrt{2}\), so we can factor out \(\sqrt{2}\) and add the coefficients:

\[
(2 + 5 + 6)\sqrt{2} = 13\sqrt{2}
\]

Thus, the simplest form of the expression is:

\[
13\sqrt{2}
\]

Would you like further explanation on any steps?

Here are 5 related questions:
1. How do you simplify expressions with square roots?
2. What are the rules for factoring square roots from terms?
3. Can square roots with different radicands be combined?
4. How do you simplify more complex expressions involving multiple radicals?
5. How do you handle square roots in algebraic equations?

**Tip**: When simplifying expressions with radicals, always check if you can factor out common square roots to make the calculation easier!

Learn how to simplify the expression 2√2 + 5√2 + 6√2 by factoring out common square roots and adding coefficients. This problem covers key algebraic concepts involving radicals and simplification. Suitable for students in Grades 7-9.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation