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 $9\sqrt{5} + \sqrt{5}$.

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?

What is the coefficient of $\sqrt{15}$?

Documenting Procedures for Radical Expressions

Standard Operating Procedure: Combining Radical Expressions

Simplifying $8\sqrt{2} - 9\sqrt{2}$, $4\sqrt[3]{x} + 7\sqrt[3]{x}$, and $3\sqrt[4]{x} - 5\sqrt[4]{y}$

Simplifying $5\sqrt{3} - 9\sqrt{3}$, $5\sqrt[3]{y} + 3\sqrt[3]{y}$, and $5\sqrt[4]{m} - 2\sqrt[3]{m}$

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

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

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

Simplifying $5\sqrt[3]{y} + 4\sqrt[3]{y}$ and $7\sqrt[4]{x} - 2\sqrt[4]{y}$

In $15\sqrt[4]{2x} + 3\sqrt[4]{2x}$, what stays the same when you combine the terms?

In $5\sqrt[3]{2x}$, match each part to its name.

Put these steps in order to combine radicals that don't look alike at first, like $3\sqrt[4]{16x} + 2\sqrt[4]{x}$.

To simplify $12\sqrt[4]{3x} + 5\sqrt[4]{3x}$, add the _____ of the like radicals to get $17\sqrt[4]{3x}$.

Two radicals must have the same what to be called 'like radicals' and combined by addition or subtraction?

To simplify a radical, what type of factor should you extract from the radicand?

True or False: $7\sqrt[3]{2} + 5\sqrt[3]{2} = 12\sqrt[3]{4}$

Look at $9\sqrt[4]{42x}$ and $2\sqrt[4]{42x}$. Name the two conditions that make these like radicals, then find their sum.