Unit 2 Day 7. Do now Simplify the square roots. 1. 2. 3.

Slides:



Advertisements
Similar presentations
Section 6.2. Example 1: Simplify each Rational Exponent Step 1: Rewrite each radical in exponential form Step 2: Simplify using exponential properties.
Advertisements

Aim: How do we simplify radical expressions? Do Now: List at least 3 factors of: x 4.
Math 025 Section 10.1 Radicals. Perfect square Square root 1  1 = 1 4  4 = 2 9  9 = 3 16  16 = 4 25  25 = 5 36  36 = 6 49  49 = 7 64  64 = 8 81.
11.1 Examples for Simplifying (EX: 1 of 4) Look for factors of 50 that are perfect square numbers. Take the square root of 25. Write it outside the radical.
Fractional Exponents and Radicals
Review: Laws of Exponents Questions Q: 4 0 =? A: 1 Q: 4 1 =? A: 4 Q: 4 1/2 =? A: Let’s square the number (4 1/2 ) 2 =? (4 1/2 ) 2 = 4 1 = 4 Recall: b.
6.3 Combining and Simplifying Radicals that Contain Variables BobsMathClass.Com Copyright © 2010 All Rights Reserved. 1 Your Turn Problem #1 Combining.
5.1 Radicals & Rational Exponents
6.1 n th Roots and Rational Exponents What you should learn: Goal1 Goal2 Evaluate nth roots of real numbers using both radical notation and rational exponent.
11.1 Simplifying Radical Expressions
11.3 Simplifying Radicals Simplifying Radical Expressions.
Appendix:A.2 Exponents and radicals. Integer Exponents exponent base.
 Form of notation for writing repeated multiplication using exponents.
10-1A Simplifying Radicals Algebra 1 Glencoe McGraw-HillLinda Stamper.
Algebraic Expressions - Rules for Radicals Let’s review some concepts from Algebra 1. If you have the same index, you can rewrite division of radical expressions.
7.1 Radical Expressions.
R8 Radicals and Rational Exponent s. Radical Notation n is called the index number a is called the radicand.
Notes Over 7.2 Using Properties of Rational Exponents Use the properties of rational exponents to simplify the expression.
7.2 Properties of Rational Exponents 3/4/2013. Example 1 Use Properties of Rational Exponents a. 6 2/3 6 1/3 = 6 (2/3 + 1/3) = 6 3/3 = 6161 = 6 b. (3.
Note that the denominator of the exponent becomes the index and the base becomes the radicand. Example Write an equivalent expression using radical.
Introduction to Irrational Numbers We write “irrational numbers” using a “radical symbol,” often just referred to as a “radical.” √ 3 is an irrational.
Radicals Tammy Wallace Varina High. Perfect Squares A number is a perfect square if it is the product of a number and itself. The first 12 perfect squares:
Lesson 8-6B Use Cube Roots and Fractional Exponents After today’s lesson, you should be able to evaluate cube roots and simplify expressions with fractional.
Simplifying Radicals. Radical Flashback Simplifying Radicals: 1.Find the greatest perfect square that goes into the radicand. 2.Take the square root of.
Chapter 10.5 Notes Part I: Simplify Radical Expressions Goal: You will simplify radical expressions.
Radicals Simplify radical expressions using the properties of radicals
Rational Exponents Evaluate rational exponents. 2.Write radicals as expressions raised to rational exponents. 3.Simplify expressions with rational.
Exponents and Radicals Objective: To review rules and properties of exponents and radicals.
EQ: How are properties of exponents used to simplify radicals? What is the process for adding and subtracting radicals?
MAT 105 FALL 2008 Roots and Radicals
Fractional Exponents. Careful! Calculate the following in your calculator: 2 ^ ( 1 ÷ 2 ) Not Exact.
Rational Exponents March 2, 2015.
Warm Up Simplify each expression. Assume all variables are positive
Lesson 6.2 Radicals and Rational Exponents Topic/ Objectives To find nth roots To evaluate expressions with rational exponents EQ: How do you write the.
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.
4.3 Rational Exponents 2/1/2013. Cube Root Perfect Cube 1 = = = = = 5 3.
Ch. 7.4 Rational Exponents p Rational Exponents If the nth root of a is a real number and m is an integer, then: and If m is negative, a ≠ 0.
Simplifying Radicals. Perfect Squares
Chapter 1, Lesson 1A Pages 25-28
7-8 Graphing Square root and other radical functions
Radical Expressions Finding a root of a number is the inverse operation of raising a number to a power. radical sign index radicand This symbol is the.
Simplifying Radicals Section 10-2 Part 1.
Simplifying Radical Expressions (10-2)
Exponents.
10-1A Simplifying Radicals
Simplifying Radical Expressions
Roots, Radicals, and Root Functions
Do Now: Simplify the expression.
Rational and Irrational Numbers and Their Properties (1.1.2)
Simplifying Radicals.
Warm Up 1.) List all of the perfect squares up to The first three are done below. 1, 4, 9,… Using a calculator, evaluate which expressions are.
Warm-up.
Multiplying and Dividing Powers
Objectives The student will be able to:
4 minutes Warm-Up Identify each transformation of the parent function f(x) = x2. 1) f(x) = x ) f(x) = (x + 5)2 3) f(x) = 5x2 4) f(x) = -5x2 5)
Evaluate nth Roots and Use Rational Exponents
Example 1: Finding Real Roots
1.4 Rational Exponents.
Roots & Radical Expressions
Simplifying Square Roots
Rewrite With Fractional Exponents
Do Now: Simplify the expression.
7.4 Rational Exponents.
Square Roots and Simplifying Radicals
8.1 – 8.3 Review Exponents.
Square Roots and Cubes Roots of Whole Numbers
Number Systems-Part 8.
Unit 1:Day 2 Simplify square roots with variables.
Unit 1 Day 3 Rational Exponents
Presentation transcript:

Unit 2 Day 7

Do now Simplify the square roots

Squaring a square root Example: Why it makes sense: rewrite in exponential notation. In general, For example, HOWEVER, if n is even, Ex:

Ex. 1: Simplifying Cube Roots Simplify the expression. a) b) c) d)

How to Simplify n th Roots For : See how many times ____ goes into _____. This is the exponent that goes outside the radical. Find the remainder when ___ goes into ____. This is the exponent that goes inside the radical. Example:

Ex. 2: Simplifying Radical Expressions Simplify the expression. Assume all variables are positive. a. b. c. d.

Ex. 3: Simplest Form Simplify the expression. Assume all variables are positive. a. b. c. d.

Closure When is