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Section 7.1 Basic of Roots (Radicals)
Definition of a Square Root if and only if is a square root of
Find any square root(s) of…
Conclusion If a is a positive number, there are two square roots; one positive and one negative. If a is a negative number, there is no real square root.
Principal Square Root The principal square root of a positive number is the positive square root. It is indicated by this sign.
Find the following.
Square Root Function
Other Types of Roots if and only if Radical Sign: n: the index ‘a’: the radicand is a radical!
Notice: An ‘odd’ root of a negative value is real. An ‘even’ root of a negative does not exist.
Roots with variables If n is ‘even’, this expression is only defined if a is positive. Therefore we will always assume that all variables are positive when figuring roots.
Find the following.
Find the following. Assume all variables are positive.
Roots of Real Numbers and Radical Expressions. Definition of n th Root ** For a square root the value of n is 2. For any real numbers a and b and any.
Monday, April 28, 2014Algebra 2 GT Objective: We will explore and define ways to simplify radical expressions. Warm Up: Rewrite each as an exponential.
Introduction to Radicals
Ch 8 - Rational & Radical Functions Simplifying Radical Expressions.
Chapter 9 Section 2 Simplifying Square Roots. Learning Objective 1.Use the product rule to simplify square roots containing constants 2.Use the product.
§ 7.3 Multiplying and Simplifying Radical Expressions.
Table of Contents nth Roots and Radicals Example 1: a is the nth root of b if and only if 2 is the third root of 8, since - 3 is the fifth root of - 243,
Ch. 9 Radical Expressions
11-3 Simplifying Radical Expressions Standard 2.0 One Property.
Warm up 1. Change into Scientific Notation 3,670,900,000 Use 3 significant figures 2. Compute: (6 x 10 2 ) x (4 x ) 3. Compute: (2 x 10 7 ) / (8.
3.3 Graph Square Root Functions 3.1, 3.3 Test: May 4 Computer Lab (C32): May 5.
Checking Factoring The checking of factoring can be done with the calculator. Graph the following expressions: 1.x 2 + 5x – 6 2.(x – 3)(x – 2) 3.(x.
Slide 7- 1 Copyright © 2012 Pearson Education, Inc.
Section 1Chapter 8. 1 Copyright © 2012, 2008, 2004 Pearson Education, Inc. Objectives Radical Expressions and Graphs Find roots of numbers. Find.
Chapter 10 Exponents & Radicals Phong Chau. Section 10.1 Radical Expressions & Functions.
1 7.1 and 7.2 Roots and Radical Expressions and Multiplying and Dividing Radical Expressions.
Chapter 8 Section 2 Copyright © 2008 Pearson Education, Inc. Publishing as Pearson Addison-Wesley.
SIMPLIFYING RADICALS. Definition of radicals “Radical” is another word for root: Square root cube root fourth root, etc.
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