Objective- To simplify problems involving square roots and variables.

Slides:



Advertisements
Similar presentations
Squares and Square Roots Objective: Students will be able to successfully multiply and simplify expressions using squares and square roots. Warm-Up Evaluate:
Advertisements

11.1 and 11.2 Radicals Goal(s): 1.To find the square roots of perfect squares, perfect square radicands and estimate the roots of irrational numbers 2.Determine.
Solving Quadratic Equations Using the Quadratic Formula MA.912.A.7.2 Solve quadratic equations over the real numbers by factoring and by using the quadratic.
The Quadratic Formula..
How do you find square roots? How do you estimate square roots?
Algebra I Chapter 10 Review
Introduction to Square Roots. 1. Find the exact value of each square root without a calculator. (similar to p.534 #38)
EXAMPLE 2 Rationalize denominators of fractions Simplify
Table of Contents Solving Quadratic Equations – Square Root Method The square root method can be used to solve a quadratic equation that can be set up.
Solving Quadratic Equations – Square Root Method The square root method can be used to solve a quadratic equation that can be set up into the following.
Warm-Up Name___________ Date___________ Expand first, then evaluate the power = 2. (-4) 2 = = = = 6. (-10) 2 =
Rational and Irrational Numbers. √ 3 64 Index Radical Radicand.
Solving Quadratic Equations
5.6.1 – Square Root Method. Recall, we solved “quadratic equations” when we set a polynomial equation equal to 0 Example. x 2 + 5x + 6 = 0.
Introduction to Irrational Numbers We write “irrational numbers” using a “radical symbol,” often just referred to as a “radical.” √ 3 is an irrational.
Solve x x + 49 = 64 by using the Square Root Property.
The Real Numbers 4-7 Learn to determine if a number is rational or irrational.
Radical Expressions and Functions Find the n th root of a number. 2.Approximate roots using a calculator. 3.Simplify radical expressions. 4.Evaluate.
Perfect squares: 1, 4, 9, __, __, __, __, __, __, __,…
6.4 Completing the Square Square Root Property Completing the Square Practice Problems.
SOLVING QUADRATICS: THE SQUARE ROOT PRINCIPLE PART 3.
Splash Screen.
Solving Quadratic Equations by Completing the Square
Estimating Square Roots
Introduction to Square Roots
Solving Quadratic Equations by Completing the Square
11.1 and 11.2 Radicals List all the perfect squares:
EXAMPLE 2 Rationalize denominators of fractions Simplify
6.5 The Quadratic Formula and the Discriminant 2/13/07
Five-Minute Check (over Lesson 3–4) Mathematical Practices Then/Now
Lesson 9.1: Radicals (Square roots)
3.4 Notes Irrational Numbers.
Math 009 Unit 4 Lesson 4.
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.
Splash Screen.
Splash Screen.
3.7: Solving Quadratic Equations by the Quadratic Formula
Solving Quadratic Equations by Completing the Square
Solving Quadratic Equations by Completing the Square
5.5 Completing the Square.
Chapter 6.4 Completing the Square Standard & Honors
Solving Quadratic Equations by Completing the Square
Solving Quadratic Equations by Completing the Square
Solving Quadratic Equations using Square Roots
The Quadratic Formula and the Discriminant
Solving Quadratic Equations by Completing the Square
Solving Quadratic Equations by Completing the Square
Solving Quadratic Equations by Completing the Square
Solving Quadratic Equations by Completing the Square
Simplifying Square Roots
Warmup Find the exact value. 1. √27 2. –√
Please write the following notes into your composition book.
Solving Quadratic Equations by Completing the Square
Solving Quadratic Equations by Completing the Square
Simplify Radicals.
11.1 Square Roots and Irrational Numbers
Solving Quadratic Equations by Completing the Square
Solving Quadratic Equations by Completing the Square
Aim: What is the nature of the roots of a quadratic equation?
Solving Quadratic Equations by Completing the Square
Solving Quadratic Equations by Completing the Square
Solving Quadratic Equations by Completing the Square
Solving Quadratic Equations by Completing the Square
Complete the Square January 16, 2017.
Solving Quadratic Equations by Completing the Square
Solving Quadratic Equations by Completing the Square
Solving Quadratic Equations by Completing the Square
6.4 Completing the Square Square Root Property
Objective - To find the square root of a given number.
Presentation transcript:

Objective- To simplify problems involving square roots and variables. Reals Perfect Squares 1 4 9 16 25 36 49 64 81 100 Irrationals Rationals

Where do perfect squares get their name? 1 4 9 16 25 36 49 64 81 100

Find the area of the square below. Find the side of the square below. 7 2 A = 16 un. 2 2 A = s A = s 2 2 2 16 = s A = 7 = 49 un. S = 4

is an irrational number and we will never know its exact value. However, = = 7 Square of Square Root Property 2 ( ) = n Simplify the following: 2 1) ( ) ) 2) 2 3)

Warning for tests and quizzes!!! If you try to use a calculator to solve the problem below, you won’t get the right answer. = (2.2360679)(2.2360679) = 4.9999996 The correct method gives... 2 = ( ) = 5

Review Solve the following: 1) x = 100 2 2) y = 19 2 3) x = 43 2