Definition of Like Radicals Two radical terms are

Definition of Like Radicals Two radical terms are called like radicals if they have the same index and same radicand.

Adding and Subtracting Radicals Add or subtract as indicated. Solution:

Adding and Subtracting Radicals Add or subtract as indicated. Solution:

Adding and Subtracting Radicals Simplify the radicals and add or subtract as indicated. Assume all variables represent positive real numbers.

Adding and Subtracting Radicals Solution:

Adding and Subtracting Radicals

Adding Radical Expressions Add the radicals. Assume that x ≥ 0. Solution:

The Multiplication Property of Radicals

Multiplying Radical Expressions Multiply each expression and simplify the result. Assume all variables represent positive real numbers.

Example 1: Multiplying Radical Expressions (2 of 2) Solution:

Multiplying Radical Expressions Multiply. Solution:

Multiplying Radical Expressions Multiply. Solution:

Multiplying Radical Expressions Multiply. Solution:

Multiplying Radical Expressions Multiply. Solution:

Simplifying Radical Expressions Simplify the expressions. Assume all variables represent positive real numbers. Solution:

Squaring a Two-Term Radical Expression Square the radical expression. Assume all variables represent positive real numbers. Solution:

Squaring a Two-Term Radical Expression Square the radical expression. Assume all variables represent positive real numbers. Solution:

Example 7: Multiplying Conjugate Radical Expressions (1 of 2) Multiply the radical expressions. Assume all variables represent positive real numbers. Solution:

Multiplying Radicals with Different Indices Multiply the expressions. Write the answers in radical form. Solution: