Simplifying $2\sqrt{2} - 7\sqrt{2}$

Simplifying $3\sqrt{y} + 4\sqrt{y}$

Simplifying $4\sqrt{x} - 2\sqrt{y}$

Simplifying $5\sqrt{13} + 4\sqrt{13} + 2\sqrt{13}$

Simplifying $2\sqrt{6} - 6\sqrt{6} + 3\sqrt{3}$

Simplifying $2\sqrt{5n} - 6\sqrt{5n} + 4\sqrt{5n}$

Simplifying $\sqrt{20} + 3\sqrt{5}$

Simplifying $\sqrt{48} - \sqrt{75}$

Simplifying $\frac{3}{4}\sqrt{192} - \frac{5}{6}\sqrt{108}$

Simplifying $\sqrt[3]{4x} + \sqrt[3]{4x}$ and $4\sqrt[4]{8} - 2\sqrt[4]{8}$

Simplifying $\sqrt[3]{54} - \sqrt[3]{16}$ and $\sqrt[4]{48} + \sqrt[4]{243}$

Simplifying $\sqrt[4]{3xy} + 5\sqrt[4]{3xy} - 4\sqrt[4]{3xy}$

Adding and Subtracting Like Radicals

Adding and Subtracting Square Roots that Need Simplification

Simplifying $5\sqrt{18} - 2\sqrt{8}$

Which pair of square roots are 'like' and can be combined by adding?

Match each square root expression with its simplified result.

Simplify: $8\sqrt{5} + 2\sqrt{5} =$ _____

Arrange the steps in order to simplify $9\sqrt{5} + \sqrt{5}$.

In $\sqrt{15} + \sqrt{15} = 2\sqrt{15}$, what coefficient does $\sqrt{15}$ have when no number is written in front of it?

Simplify $5\sqrt{7} + 3\sqrt{7}$. Explain what happens to the coefficients and what happens to the radicand.

What makes two square roots "like," and how do you add or subtract them?

Which rule applies when adding or subtracting square roots?

True or False: $5\sqrt{2} + 3\sqrt{2} = 8\sqrt{2}$

Simplify $9\sqrt{10} + 4\sqrt{10}$. What happens to the coefficients, and what happens to the radical part?

Mathematical Foundations in Structural Design

Standard Procedure for Combining Complex Radical Measurements

Project Standardization: Consolidating Radical Measurements

Simplifying $\sqrt{20} + 3\sqrt{5}$

Simplifying $\sqrt{48} - \sqrt{75}$

Simplifying $\frac{3}{4}\sqrt{192} - \frac{5}{6}\sqrt{108}$

Simplifying $5\sqrt{18} - 2\sqrt{8}$

Match each square root expression with its simplified form.

To simplify $\sqrt{45}$, factor out the largest _____ from the radicand.

How do you add like radicals, such as $3\sqrt{2} + 5\sqrt{2}$?

True or False: Before adding $\sqrt{12}$ and $\sqrt{27}$, you should simplify each radical to see if they become like radicals.

Put the steps in order to simplify $3\sqrt{8} + \sqrt{32}$.

After simplifying, two square roots are called "like radicals" when they share which feature?

Simplifying $6\sqrt{20}$ gives $6(2\sqrt{5})$, and then 6 and 2 are multiplied to get $12\sqrt{5}$. Which property justifies multiplying 6 and 2 together?