Simplifying Radicals Square roots/perfect squares Combining Radicals Vocabulary Rationalizing Denominators 100 200 300 400 500 Math Jeopardy.

Slides:



Advertisements
Similar presentations
Rationalizing.
Advertisements

Simplify Radical Expressions
Section 2.4 Complex Numbers
How do we handle fractional exponents?
Section 7.8 Complex Numbers  The imaginary number i  Simplifying square roots of negative numbers  Complex Numbers, and their Form  The Arithmetic.
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.
Warm Up Simplify each expression. 1. 6²
How do you find square roots? How do you estimate square roots?
11-2 Radical Expressions Standard 2.0 Three Key Terms One Rule.
Real Numbers Real Numbers are all numbers that can be located on Real Number line. This includes all whole numbers, all fractions, all decimals, all roots,
Aim: Simplifying Radicals Course: Adv. Alg. & Trig. Aim: How do I tame radicals? Simply simplify! Do Now: Find the solution set and graph the inequalities.
Algebra Roots and Radicals. Radicals (also called roots) are directly related to exponents. Roots and Radicals.
Algebra II Rational Exponents Lesson 6.4
Identify the perfect square in each set , 81, 27, , 99, 8, , 84, 12, , 216, 196, 72 Find the Prime Factorization of.
Objective: Add, subtract and multiplying radical expressions; re-write rational exponents in radical form. Essential Question: What rules apply for adding,
WARM UP POWER OF A PRODUCT Simplify the expression. 1.(3x) 4 2.(-5x) 3 3.(xy) 6 4.(8xy) 2 4.
1 -2 Properties of Real Numbers. Types of Numbers  Often, numbers are grouped or classified as specific types of numbers. We will explore the following.
Rational and Irrational Numbers. Standards: Use properties of rational and irrational numbers.  MGSE9–12.N.RN.2 Rewrite expressions involving radicals.
3.6 Solving Quadratic Equations
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
Simplify Radical Expressions. EQs…  How do we simplify algebraic and numeric expressions involving square root?  How do we perform operations with square.
Goal: Solving quadratic equations by finding square roots.
Unit 1 Relationships Between Quantities and Expressions Week 2 Lesson 5 – Radical Review (restricted to square roots only)
Simplifying Radicals Section 5.3. Radicals Definition Simplifying Adding/Subtracting Multiplying Dividing Rationalizing the denominator.
6.3 Binomial Radical Expressions P You can only use this property if the indexes AND the radicands are the same. This is just combining like terms.
Chapter 10.5 Notes Part I: Simplify Radical Expressions Goal: You will simplify radical expressions.
WHEN MULTIPLYING LIKE BASES, YOU ADD THE EXPONENTS FOR EXAMPLE: NOW YOU TRY:
Simplifying Radicals. Perfect Squares
Jim Smith JCHS. Perfect Squares If You Multiply A Number By It’s Self, You Get A Perfect Square 1x1 = 1 2x2 = 4 3x3 = 9 1, 4, 9, 16, 25, 36, 49, 64, 81,
Simplifying Radical Expressions
Simplified Radical Form Objective: 1)Describe simplified Radical Form 2)Simplify radical expressions by a) Factoring out perfect squares b) Combine Like.
5.4 Irrational Numbers. Irrational numbers Irrational numbers are those that cannot be written as a fraction Irrational numbers have non-terminating or.
SIMPLIFYING RADICAL EXPRESSIONS
To divide radicals: divide the coefficients divide the radicands if possible rationalize the denominator so that no radical remains in the denominator.
Review Square Root Rules
Vocabulary Unit 4 Section 1:
+1 or.
Radicals (Square Roots). = 11 = 4 = 5 = 10 = 12 = 6 = 7 = 8 = 9 = 2.
Irrational Numbers (4.2). If the definition of a rational number is a number that can be written in the form m/n, where m and n are integers with n not.
Complex Numbers n Understand complex numbers n Simplify complex number expressions.
7.4 Dividing Radical Expressions  Quotient Rules for Radicals  Simplifying Radical Expressions  Rationalizing Denominators, Part
 A radical expression is an expression with a square root  A radicand is the expression under the square root sign  We can NEVER have a radical in the.
7.5 Operations with Radical Expressions. Review of Properties of Radicals Product Property If all parts of the radicand are positive- separate each part.
Splash Screen Unit 6 Exponents and Radicals. Splash Screen Essential Question: How do you simplify radical expressions?
Section 5-4 The Irrational Numbers Objectives: Define irrational numbers Simplify radicals Add, subtract, multiply, and divide square roots Rationalize.
Solve Quadratic Equations by Finding Square Roots Chapter 1.5.
11.1 and 11.2 Radicals List all the perfect squares:
Use Properties of Radicals to simplify radicals.
Standard 2.0 Three Key Terms One Rule
3.4 Notes Irrational Numbers.
Simplifying Radical Expressions
Multiplying & Dividing Radicals
The Radical Square Root
Copyright © 2008 Pearson Education, Inc
Radical Expressions.
The Irrational Numbers and the Real Number System
Multiplying & Dividing Radicals
Warm up Simplify
Rationalizing Roots Objective:
Radicals.
Section 2.4 Complex Numbers
Simplifying and Rationalizing
Rationalizing.
Section 7.1 Radical Expressions
Section 7.2 Rational Exponents
Warm Up Simplify 1)
Chapter 8 Section 4.
Rationalizing.
Presentation transcript:

Simplifying Radicals Square roots/perfect squares Combining Radicals Vocabulary Rationalizing Denominators Math Jeopardy

Simplifying Radicals for $100

Simplifying Radicals for $200

Simplifying Radicals for $300

Simplifying Radicals for $400

Simplifying Radicals for $500

Square roots/perfect squares for $100

Square roots/perfect squares for $200

Square roots/perfect squares for $300

Square roots/perfect squares for $400

Square roots/perfect squares for $500 No Solution

Combining Radicals for $100

Combining Radicals for $200

Combining Radicals for $300

Combining Radicals for $400

Combining Radicals for $500

Vocabulary for $100 One of two equal factors of given number. What is a square root?

Vocabulary for $200 What is irrational number? A number that can not be written in fraction form (a/b).

Vocabulary for $300 Negative numbers have no square roots because no number times itself would give a negative value How many square roots does a negative number have? Explain your answer

Vocabulary for $400 Identify the radicand

Vocabulary for $500 Or Explanations should include finding the square root of x 2 and 16 which would then yield the answer x/4 Describe how to simplify

Rationalizing Denominators for $100

Rationalizing Denominators for $200

Rationalizing Denominators for $300

Rationalizing Denominators for $400

Rationalizing Denominators for $500