SQUARE ROOT METHOD. Simplify Radicals A. Single Ex.

Slides:

Advertisements

Similar presentations

Advertisements

7.5 – Rationalizing the Denominator of Radicals Expressions

Simplifying Radical Expressions Product Property of Radicals For any numbers a and b where and,

Examples for Rationalizing the Denominator Examples It is improper for a fraction to have a radical in its denominator. To remove the radical we “rationalize.

6.2 – Simplified Form for Radicals

Review and Examples: 7.4 – Adding, Subtracting, Multiplying Radical Expressions.

6.2 – Simplified Form for Radicals

A radical equation is an equation that contains a radical.

Simplifying Radicals.

Objectives Multiply and divide radical expressions.

Quadratic Formula Standard Form of a Quadratic Equation ax 2 + bx + c = 0  example  x 2 + 6x + 8 = 0  we learned to solve this by:  factoring  completing.

Rationalizing the Denominator. Essential Question How do I get a radical out of the denominator of a fraction?

6.5 Solving Square Root and Other Radical Equations p390.

5.6 Solving Quadratic Function By Finding Square Roots 12/14/2012.

Aim: How do we multiply or divide complex numbers? Do Now: 1. Multiply: 2. Multiply: 3. Multiply: 6 + 7x + 2x i HW: p.216 # 26,30,32,36,38,40,50,52.

6.3 Binomial Radical Expressions P You can only use this property if the indexes AND the radicands are the same. This is just combining like terms.

Unit 4 Day 4. Parts of a Fraction Multiplying Fractions Steps: 1: Simplify first (if possible) 2: Then multiply numerators, and multiply denominators.

4.5: Do Now: Review 4.3/4.4. The area of a rectangle with length = 3x + 1 and width = 2x + 1 is 22. Write and solve an equation to find the dimension of.

Complex Numbers Definitions Graphing 33 Absolute Values.

SIMPLIFYING RADICAL EXPRESSIONS

Chapter 9 Section 4 Dividing Square Roots. Learning Objective 1.Understand what it means for a square root to be simplified 2.Use the Quotient Rule to.

Fricovsky 4.5: Do Now: Simplify. 1.

Conjugate of Denominator

To divide radicals: divide the coefficients divide the radicands if possible rationalize the denominator so that no radical remains in the denominator.

7.3 Binomial Radical Expressions. Review Example.

Conjugate: Value or that is multiplied to a radical expression That clears the radical. Rationalizing: Removing a radical expression from the denominator.

1. When do points of discontinuity (holes & asymptotes) occur? They occur when the denominator is ZERO.

4.5 “Square Roots”. More Examples Rationalizing the Denominator.

Complex Numbers Dividing Monomials Dividing Binomials 33 Examples.

Rationalizing Numerators and Denominators of Radical Expressions Rationalize denominators. 2.Rationalize denominators that have a sum or difference.

7.5 Operations with Radical Expressions. Review of Properties of Radicals Product Property If all parts of the radicand are positive- separate each part.

A or of radicals can be simplified using the following rules. 1. Simplify each in the sum. 2. Then, combine radical terms containing the same and. sumdifference.

Any questions about the practice? Page , 11, 13, 21, 25, 27, 39, 41, 53.

Warm Up Simplify each expression

Roots, Radicals, and Root Functions

Chapter 5 Radical Expressions and Equations

Aim: How do we multiply or divide complex numbers? Do Now:

Math 71B 7.5 – Multiplying with More Than One Term and Rationalizing Denominators.

Multiplying and Dividing Radical Expressions

11.4 Multiply & Divide Radical Expressions

EXAMPLE 2 Rationalize denominators of fractions Simplify

Radical Functions Unit 3.

Simplifying Radical Expressions

Aim: How do we multiply or divide complex numbers? Do Now:

Rational Exponents Section 6.1

Simplifying Radical Expressions

Equations with Radicals

Simplifying Radical Expressions

Simplifying Radical Expressions

Multiplying Binomial Radial Expressions and Rationalizing with Conjugates. MA.912.A.6.2 Add, subtract, multiply, and divide radical expressions (Square.

6.5 Division of Radical Expressions

Rationalizing Roots Objective:

Quadratic Equations & Square Roots

Warmup Find the exact value. 1. √49 2. –√144.

Warmup Find the exact value. 1. √27 2. –√

Simplify Radicals.

Chapter 3 Unit 1B Square Roots.

Warm Up Simplify 1)

11.1b Rationalizing Denominators

Simplifying Radical Expressions

10-1 Simplifying Radicals

Objective Solve radical equations.. Objective Solve radical equations.

Section 2.6 Rationalizing Radicals

Re-test will be on FRIDAY.

Dividing Radical Expressions

Simplifying Radical Expressions

Chapter 8 Section 5.

Presentation transcript:

SQUARE ROOT METHOD

Simplify Radicals A. Single Ex.

Simplify Radicals A. Single Ex.

Simplify Radicals A. Single Ex.

Simplify Radicals B. Multiply Ex.

Simplify Radicals B. Multiply Ex.

Simplify Radicals B. Multiply Ex.

Simplify Radicals B. Multiply Ex.

Simplify Radicals C. Division I. Single # in the denominator a. Reduce if Possible b. Rationalize and reduce

Simplify Radicals C. Division (single number) Ex.

Simplify Radicals C. Division (single number) Ex.

Simplify Radicals C. Division (single number) Ex.

Simplify Radicals C. Division (single number) Ex.

Simplify Radicals C. Division I. Binomial in denominator a. Conjugate b. Multiply and Simplify c. Separate and reduce

Simplify Radicals C. Division (binomial) Ex.

Simplify Radicals C. Division (binomial) Ex.

Square Root Method Steps 1.Isolate the square 2.Take square root of both sides (Remember plus AND minus!) 3.Simplify and Solve

Square Root Method B. Examples Ex.

Square Root Method B. Examples Ex.

Square Root Method B. Examples Ex.

Square Root Method B. Examples Ex.

Square Root Method B. Examples Ex.