R a d i c a l U n i t Square Roots of Prefect Squares Medina1.

Slides:

Advertisements

Similar presentations

Radical Unit Simplifying Radicals Medina.

Advertisements

Introduction to Radicals If b 2 = a, then b is a square root of a. MeaningPositive Square Root Negative Square Root The positive and negative square.

Taking a Square Root to Solve an Equation. Solve: In order to solve for x, you have to UNDO the squared first (i.e. square root) What are the number(s)

Algebra 9.1 Square Roots I will use the inverse of perfect squares to find approximate values of square roots. I will use square roots to evaluate radical.

7.8 Equations Involving Radicals. Solving Equations Involving Radicals :  1. the term with a variable in the radicand on one side of the sign.  2. Raise.

Radical Equations: KEY IDEAS An equation that has a radical with a variable under the radicand is called a radical equation. The only restriction on to.

Ch 10.3 Solving Radical Equations Objective: To solve equations involving square roots (and equations involving perfect squares).

Multiplying, Dividing, and Simplifying Radicals Multiply radical expressions. 2.Divide radical expressions. 3.Use the product rule to simplify radical.

Questions from HW??? Use Square Roots to Solve Quadratic Equations Test: FRIDAY!!!!

Squares and square roots

Ch 9: Quadratic Equations B) Square Roots Objective: To solve quadratic equations using square roots.

Find the area of each square. How do you find the area of each square? Area may be found by either counting the number of units or multiply length of.

Laws of Exponents Objective: TSW simplify powers. TSW simplify radicals. TSW develop a vocabulary associated with exponents. TSW use the laws of exponents.

Working with Negative Exponents When working with negative exponents, move the variable and change the exponent to positive.

P2 Exponents & Radicals. What does an exponent tell you?? Repeated Multiplication How many times you multiply the base by itself.

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

Square Roots Tutorial 12c Introduction to Square Roots Just as the inverse of addition is subtraction, and of multiplication is division, the inverse.

2.13 Warm Up x² - 2x + 15 = 0; 3 x² + 3x – 4 = 0; 1

3.6 Solving Quadratic Equations

Rational and Irrational Numbers. √ 3 64 Index Radical Radicand.

Algebra 2: Unit 8 Roots and Radicals. Radicals (also called roots) are directly related to exponents. Roots and Radicals.

Dear Power point User, This power point will be best viewed as a slideshow. At the top of the page click on slideshow, then click from the beginning.

Exponents and Powers Power – the result of raising a base to an exponent. Ex. 32 Base – the number being raised to the exponent. Ex is the base.

Goal: Solving quadratic equations by finding square roots.

Squares and Square Roots. Vocabulary Square root- A number that when multiplied by itself forms a product. Principal square root- the nonnegative square.

Radical The whole equation is called the radical. C is the radicand, this must be the same as the other radicand to be able to add and subtract.

Ch 9: Quadratic Equations A) Simplifying Radicals Objective: To simplify radical expressions.

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:

Feb 9 and 10 Solving Square Root Equations. A radical equation is an equation that has a variable in a radicand (or a variable with a fractional exponent)

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

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

Square Root vocab. And Square Root Notes absent copy Monday 5/5

Simplifying Radical Expressions

7.5 Warm-Up Solve. 1. x5/2 = x2/ = 24 x2/3 = 9

Radical Expressions and Functions Find the n th root of a number. 2.Approximate roots using a calculator. 3.Simplify radical expressions. 4.Evaluate.

Ch 8 - Rational & Radical Functions 8.8 – Solving Radical Equations and Inequalities.

By, Mrs. Muller. This is the Radical Sign 3 This is the Index: When there is no number, it is a 2 4 This is the Radicand.

A radical equation is an equation that contains a radical. BACK.

5-8 RADICAL EQUATIONS & INEQUALITIES Objectives Students will be able to: 1) Solve equations containing radicals 2) Solve inequalities containing radicals.

9.1 Solving Quadratic Equations by Finding Square Roots.

11.3 Solving Radical Equations Definitions & Rules Simplifying Radicals Practice Problems.

Solving Radical Equations Steps Examples. Solving an Equation Containing a Radical  Steps  Isolate the radical  Take BOTH sides to the power.

5-8 Radical Equations and Inequalities Objectives Students will be able to: 1)Solve equations containing radicals 2)Solve inequalities containing radicals.

Quadratic Equation U n i t Simplifying Radicals Medina 1.

Splash Screen Unit 6 Exponents and Radicals. Splash Screen Essential Question: How do you simplify radical expressions?

Roots and Radicals. Radicals (also called roots) are directly related to exponents. Roots and Radicals.

And Squares Square Roots. If a square measures 4 inches on each side, how would you find its area? 4 inches.

Quadratic Equation U n i t Solving by taking the Square Root Medina 1.

5.8 Radical Equations and Inequalities

Quadratic Equation Unit

Multiplying Radicals.

Lesson 7-4 Simplifying Radicals.

9.1 Solving quadratic equations using square roots

SHAPE & SPACE Squares & Square Roots.

3-8 Solving Radical equations

Square Roots of Perfect Squares

Negatives and Square Roots

Negatives and Square Roots

10.5 Use Square Roots to Solve Quadratic Equations

Radicals Review.

Do Now: 1. Simplify. 2. What is the index? What is the radicand?

Squares and square roots

Simplifying and Rationalizing

Square Roots and Cubes Roots of Whole Numbers

Chapter 3: Solving Equations

Solving Quadratic Equations by Finding Square Roots

Objective Solve radical equations.. Objective Solve radical equations.

Activator Using the cubes in front of you build the following square shapes: 2 by 2, 3 by 3, and 4 by 4 How many blocks were in each square shape? What.

Lesson 7-4 Simplifying Radicals.

Presentation transcript:

R a d i c a l U n i t Square Roots of Prefect Squares Medina1

R a d i c a l U n i t Radical: Radicand: Index: Medina2 64 The number inside the radical symbol Identifies the root of the radical symbol ²

R a d i c a l U n i t Medina3 ³ Square RootCube Root 8 The number being multiplied to itself to get the radicand The number being multiplied to itself 3 times to get the radicand 4 Ask yourself, what times it self equals 64? Ask yourself, what number times itself 3 times equals 64?

R a d i c a l U n i t Positive Root Negative Root: Positive & Negative Roots: Undefined Root: Medina ± 8

R a d i c a l U n i t Medina5

R a d i c a l U n i t Medina6 12

R a d i c a l U n i t x x =x² What is the value of ? Ask yourself, what times it self equals x²?

R a d i c a l U n i t What is the value of ? Another way to look at this is to expand the radicand, and for every set of 2 inside the radical, one term comes out.

R a d i c a l U n i t What is the value of ? Another way to look at this is to expand the radicand, and for every set of 2 inside the radical, one term comes out.

Solving Equations with Perfect Squares Medina10 To Solve: Means there are 2 answers

Solve: Medina11 3. Simplify the radical 1. Get the letter by itself 2. Square root both sides and write ± variable Solving Equations with Perfect Squares

Medina12 To Solve: Means there are 2 answers