Simplifying Radical Expressions Chapter 10 Section 1 Kalie Stallard.

Slides:



Advertisements
Similar presentations
Simplify Radical Expressions
Advertisements

Simplify, Add, Subtract, Multiply and Divide
Critical Thinking Skill: Demonstrate Understanding of Concepts
Warm Up Simplify each expression
Simplifying Radical Expressions Product Property of Radicals For any numbers a and b where and,
Properties of Rational Exponents Section 7.2. WHAT YOU WILL LEARN: 1. Simplify expressions with rational exponents. 2. Use properties of rational exponents.
Objectives Multiply and divide radical expressions.
WARM UP SLOPE AND Y-INTERCEPT Find the slope and y- intercept. 1.y = 5x y = -4x y – 8x = 2 4.2x + 3y = 6 4.
Simplifying Radical Expressions
Identify the perfect square in each set , 81, 27, , 99, 8, , 84, 12, , 216, 196, 72 Find the Prime Factorization of.
Warm-Up #5 Find the product of ab. Let a= 1 2
9.2 Students will be able to use properties of radicals to simplify radicals. Warm-Up  Practice Page 507 – 508 l 41, 42, 45, 46, 55, 57, 59, 65.
5.5 Roots of Real Numbers and Radical Expressions.
WARM UP POWER OF A PRODUCT Simplify the expression. 1.(3x) 4 2.(-5x) 3 3.(xy) 6 4.(8xy) 2 4.
1 Algebra 2: Section 7.2 Properties of Rational Exponents (Day 1)
Unit 2 Algebra Investigations Lesson 3: Rational and Radical Expressions Notes 3.4: Simplify Radical Expressions.
Simplifying Radical Expressions Introduction to Square Roots.
Simplify Radical Expressions. EQs…  How do we simplify algebraic and numeric expressions involving square root?  How do we perform operations with square.
Goal: Solving quadratic equations by finding square roots.
Including Rationalizing The Denominators. Warm Up Simplify each expression
Chapter 10.5 Notes Part I: Simplify Radical Expressions Goal: You will simplify radical expressions.
Do Now 5/4/10 Take out HW from last night. Take out HW from last night. Cumulative Test Chapters 1-10 Cumulative Test Chapters 1-10 Copy HW in your planner.
Simplify Radical Expressions Warm-up: Recall how to estimate the square root of a number that is not a perfect square. 1.) The is between the perfect square.
GOAL: USE PROPERTIES OF RADICALS AND RATIONAL EXPONENTS Section 7-2: Properties of Rational Exponents.
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.
To divide radicals: divide the coefficients divide the radicands if possible rationalize the denominator so that no radical remains in the denominator.
Review Square Root Rules
Chapter 11 Sec 1 Simplifying Radical Expressions.
Radicals (Square Roots). = 11 = 4 = 5 = 10 = 12 = 6 = 7 = 8 = 9 = 2.
Advanced Algebra Notes Section 4.5: Simplifying Radicals (A) A number r is a _____________ of a number x if. The number r is a factor that is used twice.
Lesson 1 MI/Vocab radical expression radicand rationalizing the denominator conjugate Simplify radical expression using the Product Property of Square.
Chapter 7 – Powers, Roots, and Radicals 7.2 – Properties of Rational Exponents.
7.4 Dividing Radical Expressions  Quotient Rules for Radicals  Simplifying Radical Expressions  Rationalizing Denominators, Part
7.5 Operations with Radical Expressions. Review of Properties of Radicals Product Property If all parts of the radicand are positive- separate each part.
Splash Screen Unit 6 Exponents and Radicals. Splash Screen Essential Question: How do you simplify radical expressions?
 Simplify then perform the operations indicated….
Homework Multiply. Write each product in simplest form. All variables represent nonnegative numbers Simplify each quotient.
LESSON 12.1 OBJECTIVE: IDENTIFY OR ESTIMATE SQUARE ROOTS, DEFINE AND WRITE SQUARE ROOTS IN SIMPLEST RADICAL FORM. Simplifying Radicals.
Section 11.2B Notes Adding and Subtracting Radical Expressions Objective: Students will be able to add and subtract radical expressions involving square.
7.2 Properties of Rational Exponents Do properties of exponents work for roots? What form must they be in? How do you know when a radical is in simplest.
 Warm-Up.  Homework Questions  EQ: How do we apply properties of rational exponents? Mastery demonstrated in writing in summary of notes and in practice.
Warm Up Simplify each expression
Algebra 1 Section 9.2 Simplify radical expressions
6.2 Multiplying and Dividing Radical Expressions
Multiplying Radicals.
Simplifying Radical Expressions
Use Properties of Radicals to simplify radicals.
Do-Now: Simplify (using calculator)
Simplifying Radical Expressions
12.1 Operations with Radicals
4 WARM UP SCIENTIFIC NOTATION Write the number in scientific notation.
Simplifying Radical Expressions
Radical Expressions.
Simplifying Radical Expressions
Simplifying Radical Expressions
Warm Up Simplify each expression
Simplify Radical Expressions
Properties of Radicals
Notes Over 9.2 Simplest Form of Radicals
Warmup Find the exact value. 1. √49 2. –√144.
Algebra 1 Section 11.4.
5.2 Properties of Rational Exponents and Radicals
3.2 (Green) Apply Properties of Rational Exponents
Siberian Prison Story:
The radicand can have no perfect square factors (except 1)
Simplifying Radical Expressions
Chapter 8 Section 4.
Dividing Radical Expressions
Simplifying Radical Expressions
Presentation transcript:

Simplifying Radical Expressions Chapter 10 Section 1 Kalie Stallard

Product Property of Square Roots

Product Property of Square Roots Simplify the Following

Simplify a Square Root with Variables

Quotient Property of Square Roots

Rationalizing the Denominator of a radical expression is a method used to eliminate radicals from a denominator.

Rationalizing the Denominator

Concept Summary A radical expression is in simplest form when the following three conditions have been met. 1.No radicands have perfect square factors other than 1. 2.No radicands contain fractions 3.No radicals appear in the denominator of a fraction.

Homework Page 531: #1-7, 17-31, 41-44