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Fricovsky 4.5: Do Now: Simplify. 1.

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Presentation on theme: "Fricovsky 4.5: Do Now: Simplify. 1."— Presentation transcript:

1 Fricovsky 4.5: Do Now: Simplify. 1

2 Academy Algebra II 4.5: Solve quadratic equations by finding the square root. HW: p.269 (4-18 even) Test : Friday, Oct. 3rd (Tutorial: next week Tues and Thurs)

3 Product and Quotient Property
Fricovsky Product and Quotient Property Product Property Quotient Property

4 Ex of the Product & Quotient Property
Fricovsky Ex of the Product & Quotient Property Simplify the following:

5 Rationalizing the Denominator
Fricovsky Rationalizing the Denominator Can never have a radical in the denominator of a fraction.  You must rationalize the denominator.

6 Examples of Rationalizing the Denominator

7 Conjugates The conjugate of
We can use conjugates to simplify expressions (by rationalizing the denominator) like: Multiply the numerator and denominator by the conjugate of the denominator.

8 Simplify by rationalizing the denominator:
1.)

9 Academy Algebra II 4.5: Solve quadratic equations by finding the square root. HW: p.270 (22-34 even) Test : Friday, Oct. 3rd (Tutorial: next week Tues and Thurs)

10 Simplify by rationalizing the denominator:
2.)

11 Solving Quadratic Equations
Fricovsky Solving Quadratic Equations Solve: (Take square root of both sides)

12 Solving Quadratic Equations
Fricovsky Solve: 1.) 2.)

13 Solving Quadratic Equations
Fricovsky Solving Quadratic Equations Solve: 3.) 4.) 13

14 Solving Quadratic Equations
Fricovsky Solving Quadratic Equations Solve: 5.) 14

15 Solving Quadratic Equations
Fricovsky Solving Quadratic Equations Solve: 6.) 15


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