Square Root of a Number: Radical Symbol: Radicand:

Slides:



Advertisements
Similar presentations
Find Square Roots and Compare Real Numbers
Advertisements

9-1 Square Roots and the Pythagorean Theorem The square of 7 is 7 2 = 49 Also,( -7) 2 =49 The reverse of the square of a number is the square root of a.
Introduction to Radicals
Section 7.1 Basic of Roots (Radicals). Definition of a Square Root if and only if is a square root of.
Square Roots a is a square root of b if and only if Example 1 3 is a square root of 9, since - 3 is also a square root of 9, since Thus, 9 has two square.
Questions from HW??? Use Square Roots to Solve Quadratic Equations Test: FRIDAY!!!!
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.
R a d i c a l U n i t Square Roots of Prefect Squares Medina1.
7.1 Radical Expressions.
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.
9.1 To evaluate square roots Objective Part I Evaluating Square Roots
Goal: Solving quadratic equations by finding square roots.
Radical Basics We will work with square roots, thus, you do not need to write the index. The index for square roots is 2.
Square Root vocab. And Square Root Notes absent copy Monday 5/5
7.5 Warm-Up Solve. 1. x5/2 = x2/ = 24 x2/3 = 9
9.1 – Finding Square Roots. We know how to find the square of a number: 3 2 = (-3) 2 =
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.
Section 5.5 Radicals and Roots. Def: For any real numbers a and b, if b = a 2 then a is a square root of b. So: But: Then a is a square root of b.
Real Numbers and Properties Objective: The students will be able to classify real numbers and recognize different properties that exist with real numbers.
Quadratic Equation U n i t Simplifying Radicals Medina 1.
Vocabulary Square Root: If A = s 2, then s is a ____________________ of A. example: 25 = 5 2, 5 is a square root of 25 Cube Root: If V = s 3, then s is.
Real Numbers and the Number Line
Chapter 9.
7.1 – Radicals Radical Expressions
EQ: How do I simplify and perform operations with radical functions?
Simplifying Radical Expressions (10-2)
Exercise Simplify – 22. – 4.
1-5 ROOTS.
11.1 and 11.2 Radicals List all the perfect squares:
Introduction to Radicals
Aim: How Do We Simplify Radicals?
Lesson 9.1: Radicals (Square roots)
SHAPE & SPACE Squares & Square Roots.
UNIT 1 VOCABULARY The Real number system.
Roots, Radicals, and Root Functions
If b2 = a, then b is a square root of a
Square Roots and Radicals Square Root of a Number:
Unit 3B Radical Expressions and Rational Exponents
Radicals Radical Expressions
Section 1.2 Exponents & Radicals
Unit 2 Integers, Irrationals, Squares, Cubes and Roots Pre-Algebra 8
Square Roots of Perfect Squares
The number inside the radical symbol
(-3)2 = -32 The first of these means -3 x -3, but the second one, we have to do the index first, so we square the 3, then make it negative.
Radicals.
10.5 Use Square Roots to Solve Quadratic Equations
Radicals and Radical Functions
Radicals Review.
Introduction to Radicals Radical Expressions Finding a root of a number is the inverse operation of raising a number to a power. This symbol is the radical.
Square Roots and Radicals Square Root of a Number:
Radicals (also called roots) are directly related to exponents.
Squares and square roots
Roots & Radical Expressions
Square and Cube Roots Roots and Radicals.
7.1 – Radicals Radical Expressions
Secondary 3 Essentials Clark
Section 7.1 Radical Expressions
Radicals and Radical Functions
Roots, Radicals, and Complex Numbers
Roots, Radicals, and Root Functions
Square Roots and Cubes Roots of Whole Numbers
Exercise Every positive number has how many real square roots? 2.
Chapter 3: Solving Equations
7.1 – Radicals Radical Expressions
**Turn in your homework (“Name Please”
13.4 The Quadratic Formula and Discriminant
Warm Up Simplify
Presentation transcript:

Square Root of a Number: Radical Symbol: Radicand: Square Roots Squaring and Square Rooting are INVERSE OPERATIONS. They undo one another. THINK! If 102 = 100 then = 10 Square Root of a Number: Radical Symbol: Radicand: Special Cases: If b2 = a, then b is a square root of a The number inside the radical symbol The (positive) square root of 16. It is known as the principal square root. Examples: 1. 6. 2. 7. 3. 8. 4. 9. 5. 10. The negative square root of 16. This is read “plus or minus the square root of 16”. Zero has only one square root. Negative numbers have NO REAL SQUARE ROOTS. A number times itself will NEVER be negative!