Simplifying Radicals.

Slides:



Advertisements
Similar presentations
Simplify Radical Expressions
Advertisements

Simplifying Radicals.
To divide radicals: divide the coefficients, divide the radicands if possible, and rationalize the denominator so that no radical remains in the denominator.
Warm Up Simplify each expression
Simplifying, Multiplying, & Rationalizing Radicals
Simplifying Radicals. Perfect Squares Perfect Cubes
Simplifying Radicals you solve them? Topic: Radical Expressions
It’s a Dog’s World! Multiplying and Dividing Square Roots.
9.3 Simplifying Radicals.
Introduction to Radicals If b 2 = a, then b is a square root of a. MeaningPositive Square Root Negative Square Root The positive and negative square.
Simplifying Radicals.
5.5 ROOTS AND REAL NUMBERS 5.6 RADICAL EXPRESSIONS Algebra II w/ trig.
Radical Review Simplify radical expressions. Rationalize fractions with radicals in the denominator.
WARM UP POWER OF A PRODUCT Simplify the expression. 1.(3x) 4 2.(-5x) 3 3.(xy) 6 4.(8xy) 2 4.
Simplifying Radicals Section 5.3. Radicals Definition Simplifying Adding/Subtracting Multiplying Dividing Rationalizing the denominator.
Simplifying Radicals. Perfect Squares
SIMPLIFYING RADICAL EXPRESSIONS
Copyright © Cengage Learning. All rights reserved. 8 Radical Functions.
To divide radicals: divide the coefficients divide the radicands if possible rationalize the denominator so that no radical remains in the denominator.
Radicals (Square Roots). = 11 = 4 = 5 = 10 = 12 = 6 = 7 = 8 = 9 = 2.
3.4 Simplify Radical Expressions
7.5 Operations with Radical Expressions. Review of Properties of Radicals Product Property If all parts of the radicand are positive- separate each part.
Simplifying Radicals Algebra I Unit 1 D2. Perfect Squares
Solving Equations with Trig Functions. Labeling a right triangle A.
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.
Simplifying Radicals.
It’s a Dog’s World! Multiplying and Dividing Square Roots
6.2 Multiplying and Dividing Radical Expressions
10.2 Simplifying Radicals.
It’s a Dog’s World! Multiplying and Dividing Square Roots
Objectives The student will be able to:
Introduction to Radicals
3.4 Notes Irrational Numbers.
Simplifying Radical Expressions
Simplifying Radicals.
Multiplying & Dividing Radicals
Simplifying Radicals.
Multiplying & Dividing Radicals
Warm up Simplify
Simplify Radical Expressions
Simplifying Radicals.
Warm-up 11 August 2017 List all of the positive factors (factor tree).
Sponge What operation does each term represent? Create an example for each. 1. Sum 2. Difference 3. Twice 4. Decreased 5. Together 6. Square.
Simplifying Radicals.
Simplifying Radicals.
Success Criteria LT: Today’s Agenda Do Now Hand Back Test Lesson HW#9
Properties of Radicals
Simplifying Radicals.
Adding & Subtracting Radical Expressions
1.2 Multiply and Divide Radicals
Simplifying Radicals.
Multiplying Radicals *
Simplifying Radicals.
BellRinger- 11/28/2011 Find the Prime Factors of:
Simplifying Radicals.
Simplifying Radicals.
Simplifying Radicals.
Essential Question: How do we simplify radicals?
Simplifying Radicals.
9.3 Simplifying Radicals. Square Roots Opposite of squaring a number is taking the square root of a number. A number b is a square root of a number a.
Dividing Radicals To divide radicals: divide the coefficients, divide the radicands if possible, and rationalize the denominator so that no radical remains.
Simplifying Radicals.
Multiplying and Dividing Radical Expressions
Chapter 8 Section 4.
Lesson #3: Dividing with Radicals (For use with Sections 7-2 & 7-3)
Simplifying Radicals.
Simplifying Radicals.
Simplifying Radicals.
Simplifying Radicals.
Simplifying Radicals.
Presentation transcript:

Simplifying Radicals

Perfect Squares 64 225 1 81 256 4 100 289 9 121 16 324 144 25 400 169 36 196 49 625

Simplify = 2 = 4 = 5 This is a piece of cake! = 10 = 12

Simplify = = = = = = = = = = Perfect Square Factor * Other Factor LEAVE IN RADICAL FORM = = = = = =

Simplify = = = = = = = = = = Perfect Square Factor * Other Factor LEAVE IN RADICAL FORM = = = = = =

+ To combine radicals: combine the coefficients of like radicals Combining Radicals + To combine radicals: combine the coefficients of like radicals

Simplify each expression

Simplify each expression: Simplify each radical first and then combine.

Simplify each expression: Simplify each radical first and then combine.

Simplify = = = = = = = = = = Perfect Square Factor * Other Factor LEAVE IN RADICAL FORM = = = = = =

Simplify each expression

Simplify each expression

Multiplying Radicals * To multiply radicals: multiply the coefficients and then multiply the radicands and then simplify the remaining radicals.

Multiply and then simplify

Dividing Radicals To divide radicals: divide the coefficients, divide the radicands if possible, and rationalize the denominator so that no radical remains in the denominator

That was easy!

42 cannot be simplified, so we are finished. This cannot be divided which leaves the radical in the denominator. We do not leave radicals in the denominator. So we need to rationalize by multiplying the fraction by something so we can eliminate the radical in the denominator. 42 cannot be simplified, so we are finished.

This can be divided which leaves the radical in the denominator This can be divided which leaves the radical in the denominator. We do not leave radicals in the denominator. So we need to rationalize by multiplying the fraction by something so we can eliminate the radical in the denominator.

This cannot be divided which leaves the radical in the denominator This cannot be divided which leaves the radical in the denominator. We do not leave radicals in the denominator. So we need to rationalize by multiplying the fraction by something so we can eliminate the radical in the denominator. Reduce the fraction.

Simplify = X = Y3 = P2X3Y = 2X2Y = 5C4D10

Simplify = = = =

= = ? = =