6-1 Radical Functions & Rational Exponents Unit Objectives: Simplify radical and rational exponent expressions Solve radical equations Solve rational exponent.

Slides:

Advertisements

Similar presentations

Section P3 Radicals and Rational Exponents

Advertisements

Ch 8 - Rational & Radical Functions Simplifying Radical Expressions.

7.1 – Radicals Radical Expressions

Review: Laws of Exponents Questions Q: 4 0 =? A: 1 Q: 4 1 =? A: 4 Q: 4 1/2 =? A: Let’s square the number (4 1/2 ) 2 =? (4 1/2 ) 2 = 4 1 = 4 Recall: b.

7.1/7.2 Nth Roots and Rational Exponents

6.1 n th Roots and Rational Exponents What you should learn: Goal1 Goal2 Evaluate nth roots of real numbers using both radical notation and rational exponent.

Radical Functions & Rational Exponents

6-3: Rational Exponents Unit 6: Rational /Radical Equations.

7.1 nth Roots and Rational Exponents 3/1/2013. n th Root Ex. 3 2 = 9, then 3 is the square root of 9. If b 2 = a, then b is the square root of a. If b.

Simplifying Radicals SPI Operate (add, subtract, multiply, divide, simplify, powers) with radicals and radical expressions including radicands.

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

Objective: Add, subtract and multiplying radical expressions; re-write rational exponents in radical form. Essential Question: What rules apply for adding,

Roots of Real Numbers and Radical Expressions. Definition of n th Root ** For a square root the value of n is 2. For any real numbers a and b and any.

§ 7.2 Radical Expressions and Functions. Tobey & Slater, Intermediate Algebra, 5e - Slide #2 Square Roots The square root of a number is a value that.

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.

Note that the denominator of the exponent becomes the index and the base becomes the radicand. Example Write an equivalent expression using radical.

Properties of Rational Exponents Lesson 7.2 Goal: Use properties of radicals and rational exponents.

Goal: Solving quadratic equations by finding square roots.

1 Algebra 2: Section 7.1 Nth Roots and Rational Exponents.

Lesson 8-6B Use Cube Roots and Fractional Exponents After today’s lesson, you should be able to evaluate cube roots and simplify expressions with fractional.

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.

5-5 Roots of Real Numbers Objective: Students will be able to simplify radicals.

Warm up 1. Change into Scientific Notation 3,670,900,000 Use 3 significant figures 2. Compute: (6 x 10 2 ) x (4 x ) 3. Compute: (2 x 10 7 ) / (8.

Exponents and Radicals Objective: To review rules and properties of exponents and radicals.

EQ: How are properties of exponents used to simplify radicals? What is the process for adding and subtracting radicals?

Roots and Radical Expressions

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

Warm-up Simplify each expression

Powers, Roots, & Radicals OBJECTIVE: To Evaluate and Simplify using properties of exponents and radicals.

Warm-up Write as a rational exponent. Answers:. Notes P3, Day 3: Cube Roots and Rational Exponents Definition of the Principal nth Root of a Real Number.

Properties and Rules for Exponents Properties and Rules for Radicals

HW: Pg #30-60e. NUMBER THEORY Perfect Squares and Perfect Cubes SMART Notebook Practice.

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

Warm Up Simplify each expression. Assume all variables are positive

Algebra 2 Ch.7 Notes Page 50 P Solving Square Roots and Other Radical Equations (Part 1)

7.5 Operations with Radical Expressions. Review of Properties of Radicals Product Property If all parts of the radicand are positive- separate each part.

Sections 8.1 and 8.2 Radical Expressions Rational Exponents.

Roots, Radicals, and Complex Numbers

7.1 – Radicals Radical Expressions

6-1 Radical Functions & Rational Exponents

Do Now: Simplify the expression.

7.2 – Rational Exponents The value of the numerator represents the power of the radicand. The value of the denominator represents the index or root of.

Rational Exponents Simplifying Radical Expressions

Algebra 2/Trig Name: ________________________

Adding, Subtracting, and Multiplying Radical Expressions

7.1 and 7.2 Simplifying/Multiplying/Dividing Radical expressions

Radicals and Rational Exponents

3-8 Solving Radical equations

Unit 3B Radical Expressions and Rational Exponents

Radicals Radical Expressions

4.5 Solving Quadratic Equations by Finding Square Roots

7.5 Solving Radical Equations

Evaluate nth Roots and Use Rational Exponents

Example 1: Finding Real Roots

Objectives Rewrite radical expressions by using rational exponents.

Algebra 2/Trig Name: ________________________ Unit 2 Study Guide

nth Roots and Rational Exponents

Radicals and Radical Functions

5.2 Properties of Rational Exponents and Radicals

3.2 (Green) Apply Properties of Rational Exponents

Roots & Radical Expressions

7.1 – Radicals Radical Expressions

Apply Properties of Rational Exponents

Radicals and Radical Functions

Roots, Radicals, and Complex Numbers

nth Root & Rational Exponents

Objective Solve radical equations.. Objective Solve radical equations.

7.1 – Radicals Radical Expressions

Do Now 1/17/19 Copy HW in your planner.

Presentation transcript:

6-1 Radical Functions & Rational Exponents Unit Objectives: Simplify radical and rational exponent expressions Solve radical equations Solve rational exponent equations Today’s Objective: I can simplify radical expressions.

Review of Exponent Properties Simplify with positive exponents only.

Roots & Radical Expressions PowersRootsRadicals 2 is the square root of 4 2 is the cube root of 8 2 is the fourth root of 16 a is the n th root of b Index: Degree of root Radicand

Simplifying Radicals 1.Write radicand in factors raised to the nth power or less. 2.Take the n th root of all factors to the n th power. 3.Simplify in front of radical and under radical.

Simplifying Radicals 1.Write radicand in factors raised to the nth power or less. 2.Take the n th root of all factors to the n th power. 3.Simplify in front of radical and under radical.