Unit 1 Algebra 2 CP Radicals

Objectives Day 1-2: Identify the index and radicand of a radical expression. Identify and simplify perfect nth root radical expressions. Write and simplify a rational exponents.

Radical expression: Consists of the following:

Radical Expressions

Simplifying Perfect Root Radical Expressions: 1. Write the radicand as an exponent with a power that is the same as the index of the radical expression. Use exponent properties. 2. When the index and the power are the same they cancel and your left with the radicand.                

 

Class Exercises: Simplify.  

Class Exercises: Simplify.

       

Class Exercises: Simplify

Class Exercises: Simplify

Class Exercises: Simplify

Class Exercises: Simplify

Assignment WS 1

Objectives Day 3-4: Identify and simplify non perfect nth root radical expressions.

Simplest Radical Form: The radicand contains no perfect nth power, other than 1.       Simplifying non perfect radical expressions: Rewrite the radical expression as a product of radicals, where one of the radicals is the largest perfect root then simplify.        

Class Exercises: Simplify.

Class Exercises: Simplify.

Class Exercises: Simplify.

Assignment WS 2

Objectives Day 5-6: To identify like radical expressions. To identify radical conjugates. To add and subtract radical expressions.

Like Radicals: Are radical expressions that have the same index and the same radicand. Radical Conjugates: Are binomial (two terms) expressions, whose first terms are the same and their second terms are opposites.

To add or subtract the radical expressions: 1. Make sure each term is in simplest radical form. 2. The radicand and index of the radical expressions must be the same. 3. Add/Subtract the coefficients of the like radical expressions.

Class Exercises: Simplify.

Class Exercises: Simplify.

Class Exercises: Simplify.

Assignment WS 3

Multiplying Radical Expressions: 1. The index of the radical expressions must be the same. 2. Multiply the coefficients of the radical expressions. 3. Multiply the radicands of the radical expressions. 4. Simplify and combine any like terms if possible.

Class Exercises: Simplify.

Class Exercises: Simplify.

Class Exercises: Simplify.

Class Exercises: Simplify.

Class Exercises: Simplify. + O + I + L

Class Exercises: Simplify. + O + I + L

Class Exercises: Simplify. + O + I + L

Class Exercises: Simplify. + O + I + L

Assignment WS 4

Dividing Radicals Index must be the same for the radical expressions to be divided.

Simplest Radical Form: The radicand contains no perfect nth root, other than 1. The radicand contains no fractions. The denominator of a fraction contains no radicals.

 

Class Exercises: Simplify.

Class Exercises: Simplify.

Class Exercises: Simplify.

Class Exercises: Simplify.

Class Exercises: Simplify.

When multiplying conjugates, the sum of the outer   When multiplying conjugates, the sum of the outer and the inner products is always zero.

Class Exercises: Simplify. O I L F - L What’s the conjugate of the denominator? Remember, the sum of the outer and the inner products is zero.

Class Exercises: Simplify. O I L F - L What’s the conjugate of the denominator?

Class Exercises: Simplify. - L What’s the conjugate of the denominator? Distribute in the numerator.

Class Exercises: Simplify. O I L F - L What’s the conjugate of the denominator?

Assignment WS 5