10.4 Adding and Subtracting Radical Expressions. Simplify radical expressions involving addition and subtraction. Objective 1 Slide 10.4- 2.

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Presentation transcript:

10.4 Adding and Subtracting Radical Expressions

Simplify radical expressions involving addition and subtraction. Objective 1 Slide

Slide Simplify radical expressions involving addition and subtraction. Only radical expressions with the same index and the same radicand may be combined. Expressions such as or cannot be simplified by combining terms.

Add or subtract to simplify each radical expression. Slide CLASSROOM EXAMPLE 1 Adding and Subtracting Radicals Solution:

This expression can not be simplified any further. Slide CLASSROOM EXAMPLE 1 Adding and Subtracting Radicals (cont’d) Add or subtract to simplify each radical expression. Solution:

Slide Simplify radical expressions involving addition and subtraction. Do not confuse the product rule with combining like terms. The root of a sum does not equal the sum of the roots. For example since

Add or subtract to simplify the radical expression. Assume that all variables represent positive real numbers. Slide CLASSROOM EXAMPLE 2 Adding and Subtracting Radicals with Higher Indexes Solution:

Slide CLASSROOM EXAMPLE 2 Adding and Subtracting Radicals with Higher Indexes (cont’d) Add or subtract to simplify the radical expression. Assume that all variables represent positive real numbers. Solution:

Slide CLASSROOM EXAMPLE 2 Adding and Subtracting Radicals with Higher Indexes (cont’d) Add or subtract to simplify the radical expression. Assume that all variables represent positive real numbers. Solution:

Perform the indicated operations. Assume that all variables represent positive real numbers. Slide CLASSROOM EXAMPLE 3 Adding and Subtracting Radicals with Fractions Solution:

Slide CLASSROOM EXAMPLE 3 Adding and Subtracting Radicals with Fractions (cont’d) Perform the indicated operations. Assume that all variables represent positive real numbers. Solution: