Abcdefghijklmnopqrstvwxyz What do you make of this?

Slides:

Advertisements

Similar presentations

12.5 Simplifying Square Roots CORD Math Mrs. Spitz Spring 2007.

Advertisements

Tidewater Community College

5.1 Radicals & Rational Exponents

Evaluating Square Roots

11.3 Simplifying Radicals Simplifying Radical Expressions.

Radical Functions & Rational Exponents

3.3 Graph Square Root Functions 3.1, 3.3 Test: May 4 Computer Lab (C32): May 5.

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.

SIMPLIFYING RADICALS. Definition of radicals “Radical” is another word for root: Square root cube root fourth root, etc.

Simplifying Radicals SPI Operate (add, subtract, multiply, divide, simplify, powers) with radicals and radical expressions including radicands.

Algebra II Rational Exponents Lesson 6.4

Radicals Expressions By Khalil Deloatch Radicals Expressions A radical expression is an expression containing a square root. A radical expression is.

Objective: Add, subtract and multiplying radical expressions; re-write rational exponents in radical form. Essential Question: What rules apply for adding,

Radicals and Rational Indices. If x 2 = a, then x is a square root of a. Radicals Do you remember what square root means? For example: 3 2 = 9 3 is a.

R8 Radicals and Rational Exponent s. Radical Notation n is called the index number a is called the radicand.

You should know or start to recognize these: 2 2 = 43 2 = 94 2 = = = 83 3 = = = = = = = = 323.

6.1 – Rational Exponents Radical Expressions Finding a root of a number is the inverse operation of raising a number to a power. This symbol is the radical.

Note that the denominator of the exponent becomes the index and the base becomes the radicand. Example Write an equivalent expression using radical.

Math – Multiplying and Simplifying Radical Expressions 1.

16/11/10 FMP10 Chapter 3 Vocabulary.

Lesson 7-1: Radical Expressions Objectives Students will: Find square roots of numbers Find n-th root of numbers.

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:

Not all numbers or expressions have an exact square or cube root. If a number is NOT a perfect square or cube, you might be able to simplify it. Simplifying.

Radical Basics We will work with square roots, thus, you do not need to write the index. The index for square roots is 2.

Multiplying and Simplifying Radicals The Product Rule for Radicals is given by: Note that both of the radicals on the left have the same index. Throughout.

Chapter 10.5 Notes Part I: Simplify Radical Expressions Goal: You will simplify radical expressions.

5-5 Roots of Real Numbers Objective: Students will be able to simplify radicals.

EQ: How are properties of exponents used to simplify radicals? What is the process for adding and subtracting radicals?

Roots and Radical Expressions

Warm Up. Algebra 3 Chapter 7: POWERS, ROOTS, and RADICALS Lesson 2: Properties of Rational Exponents.

Chapter 7.1 Roots & Radical Expressions. Definitions/Key Concepts 5 2 _______, 5 is a ________ root of _______, 5 is a ________ root of

Aim: How Do We Simplify Radicals? . The entire expression, including the radical sign and radicand, is called the radical expression. radicand. radical.

Exponents Two or more numbers that are multiplied together to form a product are called factors. Two or more numbers that are multiplied together to.

6-1 Radical Functions & Rational Exponents Unit Objectives: Simplify radical and rational exponent expressions Solve radical equations Solve rational exponent.

 Prime Factor Trees…From Middle School High  Create a factor tree for the following 

Algebra 2 Section 3.1.  Square Root:  Cube Root:  4 th root:  5 th root:  6 th root:  111 th root:

Multiplying and Simplifying Radicals

Chapter 1, Lesson 1A Pages 25-28

Section 4.3 Mixed & Entire Radicals.

6-1 Radical Functions & Rational Exponents

Objectives The student will be able to:

Exercise Simplify – 22. – 4.

Simplifying Radical Expressions

Aim: How Do We Simplify Radicals?

Section 4.3 Mixed & Entire Radicals.

Review Problems Algebra 1 11-R.

Multiplying & Simplifying Radical Expressions

Lesson 7-4 Simplifying Radicals.

Section 4.3 Mixed & Entire Radicals.

Rational Exponents Simplifying Radical Expressions

Roots, Radicals, and Root Functions

Objectives Rewrite radical expressions by using rational exponents.

Example 1: Finding Real Roots

Objectives Rewrite radical expressions by using rational exponents.

Objectives The student will be able to:

Radicals and Radical Functions

Squaring a value and finding its square root is the opposite

Simplifying and Rationalizing

Roots & Radical Expressions

Siberian Prison Story:

Section 7.1 Radical Expressions

Radicals and Radical Functions

Roots, Radicals, and Root Functions

Square Roots and Cubes Roots of Whole Numbers

Chapter 8 Section 4.

Warm Up Identify the perfect square in each set.

Warm UP Simplify .

Lesson 7-4 Simplifying Radicals.

Presentation transcript:

abcdefghijklmnopqrstvwxyz What do you make of this?

Mad Minute!

Power Flashcards Powers of 2: 2 2 = 42 3 = 82 4 = = = 64 Powers of 3: 3 2 = 93 3 = = 81 Powers of 4: 4 2 = = 64 Powers of 5: 5 2 = = 125

Power Flashcards Other squares 6 2 = = = = = = = 144 Other 10 3 = 1000 WARNING…This is a NO-CALCULATOR chapter! Memorize these powers!!

Mad Minute answers:

Homework Solutions:

Lesson 11-1B Simplify other radicals (cube roots, 4 th roots, etc…)

Radical Expressions Parts: All of it together is a radical expression 625 Radicand Radical Index – when invisible, it is a this number tells how many to group together

To simplify ANY radical….use the JAILBREAK method 1.Make a factor tree 2.Factors in groups that match the index can escape 3.Only one survives once they break out 4.Any factor not part of a group stays in

Simplify (Remember this from yesterday?) An invisible 2 told you that prisoners could escape in groups of 2 (but only one survives). What would a 3 tell you? How about a 4?

16 2 Simplify: called “cube root of 16”

Simplify

3 Simplify: called “fourth root of 162”

243 3 Simplify:

Simplify:

Assignment Complete the handout Show your work for credit No calculators