Simplify:.

Slides:

Advertisements

Similar presentations

Warm UP! is the Radicand Which number is the radicand?

Advertisements

Simplifying Radicals. Perfect Squares Perfect Cubes

Aim: How do we simplify radical expressions? Do Now: List at least 3 factors of: x 4.

Math 025 Section 10.1 Radicals. Perfect square Square root 1  1 = 1 4  4 = 2 9  9 = 3 16  16 = 4 25  25 = 5 36  36 = 6 49  49 = 7 64  64 = 8 81.

Simplifying Radicals.

11.1 Examples for Simplifying (EX: 1 of 4) Look for factors of 50 that are perfect square numbers. Take the square root of 25. Write it outside the radical.

Square Roots Simplifying Square Roots

Radical (Square Roots) Algebra I. What is a radical? An expression that uses a root, such as square root, cube root.

11.3 Simplifying Radicals Simplifying Radical Expressions.

Simplifying Radical Expressions

Objectives The student will be able to: 1. simplify square roots, and 2. simplify radical expressions. SOL: A.3 Designed by Skip Tyler, Varina High School.

Properties and Rules for Exponents Properties and Rules for Radicals

10-1A Simplifying Radicals Algebra 1 Glencoe McGraw-HillLinda Stamper.

9.2 Students will be able to use properties of radicals to simplify radicals. Warm-Up  Practice Page 507 – 508 l 41, 42, 45, 46, 55, 57, 59, 65.

Unit 4 Operations & Rules

Rationalizing the Denominator. Essential Question How do I get a radical out of the denominator of a fraction?

Simplifying Radical Expressions Introduction to Square Roots.

CCGPS Geometry ( ) UNIT QUESTION: In what ways can algebraic methods be used in problems solving? Standard: MCC9-12.N.RN.1-3, N.CN.1-3, A.APR.1 Today’s.

Copyright © 2015, 2011, 2007 Pearson Education, Inc. 1 1 Chapter 8 Rational Exponents, Radicals, and Complex Numbers.

10/29/12 Unit 2Triangles Right Triangles I can….. simplify radical expressions.

Objectives The student will be able to: 1. simplify square roots, and 2.simplify radical expressions. Designed by Skip Tyler, Varina High School.

Goal: Solving quadratic equations by finding square roots.

To simplify radicals: look for a square factor or a pair of factors.

Simplifying Radicals Section 5.3. Radicals Definition Simplifying Adding/Subtracting Multiplying Dividing Rationalizing the denominator.

7.1 Objectives: To simplify square roots. Simplifying Radicals.

Simplifying Radicals. Radical Flashback Simplifying Radicals: 1.Find the greatest perfect square that goes into the radicand. 2.Take the square root of.

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.

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

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.

The exponent is most often used in the power of monomials.

Simplify the Following Radicals March 8.

Radicals (Square Roots). = 11 = 4 = 5 = 10 = 12 = 6 = 7 = 8 = 9 = 2.

Advanced Algebra Notes Section 4.5: Simplifying Radicals (A) A number r is a _____________ of a number x if. The number r is a factor that is used twice.

Simplify Radicals Square roots and other roots of numbers Simplify means no decimals and keep the radical.

5-6 Radical Expressions Objectives Students will be able to: 1)Simplify radical expressions 2)Add, subtract, multiply, and divide radical expressions.

No perfect square factors other than 1 are in the radicand. No fractions are in the radicand. No radicals appear in the denominator.

Radicals AM Radical expressions, simplify Radical expr., add/sub like radicals.

5-5 ROOTS OF REAL NUMBERS Objective: Students will be able to simplify radicals.

Find the degree of the expressions: a)b)

Simplifying Radicals Algebra I Unit 1 D2. Perfect Squares

Radicals. Parts of a Radical Radical Symbol: the symbol √ or indicating extraction of a root of the quantity that follows it Radicand: the quantity under.

Multiplying and Simplifying Radicals

Algebra 1 Section 9.2 Simplify radical expressions

Simplifying Radicals Algebra

Simplifying Radical Expressions (10-2)

10-1A Simplifying Radicals

Simplifying Radical Expressions

Simplifying radicals Rationalizing the denominatior

Square Roots and Simplifying Radicals

Simplifying Radicals.

Simplifying Radical Expressions

12.1 Operations with Radicals

Objectives The student will be able to:

Warm up Simplify

9.1 Properties of Radicals

7.6 Rational Exponents.

Sponge What operation does each term represent? Create an example for each. 1. Sum 2. Difference 3. Twice 4. Decreased 5. Together 6. Square.

Unit 8 Radicals.

5.2 Properties of Rational Exponents and Radicals

Siberian Prison Story:

Square Roots and Simplifying Radicals

The radicand can have no perfect square factors (except 1)

Unit 1.3 Part A Learning Goal:

Warm Up Identify the perfect square in each set.

GSE Algebra I Today’s Question: How do we simplify square roots?

Presentation transcript:

Simplify:

Square Roots and Simplifying Radicals

Radical Sign (square root sign) Radicand Numbers or variables under the radical sign

Prime Numbers 2 3 5 7 11 13…

Radicals are in SIMPLEST FORM when.. 1. No perfect square factors other than 1 are under the radical. No fractions are under the radical. No radicals are in the denominator.

When you have a pair, bring the number out. EX:1 Simplify. When you have a pair, bring the number out.

When you have a pair, bring the number out. EX:2 Simplify When you have a pair, bring the number out.

EX:3 Simplify.

EXTRA

You try! 6. 7. 8. 9.

Variables as Radicands Even Exponent – ODD Exponent – Take HALF out (nothing left under the radical) Leave ONE under the radical and take HALF of the rest out