
	Algebra Tutorials!

Saturday 21st of December



	Home
	Square Roots and Radical Expressions
	Solving Radical Equations
	Simplifying Radical Expressions
	Irrational Numbers in General and Square Roots in Particular
	Roots of Polynomials
	Simplifying Radical Expressions
	Exponents and Radicals
	Products and Quotients Involving Radicals
	Roots of Quadratic Equations
	Radical Expressions
	Radicals and Rational Exponents
	Find Square Roots and Compare Real Numbers
	Radicals
	Radicals and Rational Exponents
	Theorems on the Roots of Polynomial Equations
	SYNTHETIC DIVISION AND BOUNDS ON ROOTS
	Simplifying Radical Expressions
	Exponents and Radicals
	Properties of Exponents and Square Roots
	Solving Radical Equations
	Rational Exponents and Radicals,Rationalizing Denominators
	Rational Exponents and Radicals,Rationalizing Denominators
	Quadratic Roots
	Exponents and Roots
	Multiplying Radical Expressions
	Exponents and Radicals
	Solving Radical Equations
	Solving Quadratic Equations by Factoring and Extracting Roots
	Newton's Method for Finding Roots
	Roots of Quadratic Equations Studio
	Roots, Radicals, and Root Functions
	Review division factoring and Root Finding
	Radicals
	Simplifying Radical Expressions
	Multiplying and Simplifying Radical Expressions
	LIKE RADICALS
	Multiplication and Division of Radicals
	Radical Equations
	BOUNDING ROOTS OF POLYNOMIALS

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Enter expression, e.g. (x^2-y^2)/(x-y)

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Depdendent Variable

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Equ. #1:

Equ. #2:

Equ. #3:

Equ. #4:

Equ. #5:

Equ. #6:

Equ. #7:

Equ. #8:

Equ. #9:

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Enter inequality to solve, e.g. 2x+3>4

Enter inequality to graph, e.g. y<3x^2-1

Dependent Variable

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Ineq. #1:

Ineq. #2:

Ineq. #3:

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Solving Radical Equations

Slates!

1.Simplify.

2.Solve.

Simplifying Radical Expressions

Recall...

Example 1: Simplifying by combining like terms, if possible.

Example 2: Simplifying by combining like terms, if possible.

Practice! Simplifying by combining like terms, if possible.

Multiplying Radical Expressions

Example 1: Multiply.

Simplifying Radical Expressions

Example 3: Multiply.

Slates!

Multiply.

Recall:

Slates:

Find the Conjugate.

Dividing Radicals

Example 1: Rationalize the denominator.

Simplifying Radical Expressions

Example 2: Rationalize the denominator.

Practice: Rationalize the denominator.

Solving Radical Equations

Mental Math:

Algebraic Process:

Example 1: Solve.

Steps:
1) Isolate Root.
2) Power both sides.
3) Solve.
4) Check!

Example 2: Solve.

Steps:
1) Isolate Root.
2) Power both sides.
3) Solve.
4) Check!

Example 3: Solve.

Steps:
1) Isolate Root.
2) Power both sides.
3) Solve.
4) Check!

Example 4: Solve.

Steps:
1) Isolate Root.
2) Power both sides.
3) Solve.
4) Check!

Practice: Solve.

Steps:
1) Isolate Root.
2) Square both sides.
3) Solve.
4) Check!

That's it for today!

Homework Help Resources:

The Math Center
Interact Math
Algebasics: Radicals

Homework:

· Practice problems from this lesson
MathXL #19

· Reflect on what you have learned

· Prepare for next class' lesson

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