Geometry Lesson 0 9 Square Roots and Simplifying

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Geometry Lesson 0 – 9 Square Roots and Simplifying Radicals Objective: Evaluate square roots

Geometry Lesson 0 – 9 Square Roots and Simplifying Radicals Objective: Evaluate square roots and simplify radical expressions.

Product Property Product property: l For b, any two positive numbers a and

Product Property Product property: l For b, any two positive numbers a and

Simplifying radicals A radical expression (square root expression) is simplified when the following are

Simplifying radicals A radical expression (square root expression) is simplified when the following are met: l No perfect square factors l No fractions inside the radical sign l No radicals in the denominator l Expression has only 1 radical sign

Simplify Is there a perfect square that is a factor of 45? If so

Simplify Is there a perfect square that is a factor of 45? If so break down the expression, if not it is already simplified. Notice that 9*5 = 45 Use your calculator to check

Simplify

Simplify

Simplifying may take more than one steps And can be worked different ways. Can

Simplifying may take more than one steps And can be worked different ways. Can still break down sq. root of 12. or

Simplify OR

Simplify OR

Simplify

Simplify

Quotient Property: l For any positive numbers a and b,

Quotient Property: l For any positive numbers a and b,

Simplify

Simplify

Simplify Is not simplified because of the radical in the denominator. You can do

Simplify Is not simplified because of the radical in the denominator. You can do anything to a fraction as long as you do it to the numerator and denominator.

Simplify

Simplify

Simplify Multiply by what’s with the radical, Only switch the sign. Do FOIL method

Simplify Multiply by what’s with the radical, Only switch the sign. Do FOIL method in denominator

Simplify

Simplify

Simplify Break down numbers the same. Break down variables in to ‘squares’ Remember x

Simplify Break down numbers the same. Break down variables in to ‘squares’ Remember x * x = x 2 y z 3

Simplify

Simplify

Homework Pg. P 20 1 – 20 all

Homework Pg. P 20 1 – 20 all

Unit 2 SIMPLIFY SQUARE ROOTS Simplifying Square RootsUnit 2 SIMPLIFY SQUARE ROOTS Simplifying Square Roots
SIMPLIFYING SQUARE ROOTS Definition of radicals Square rootsSIMPLIFYING SQUARE ROOTS Definition of radicals Square roots
SIMPLIFYING RADICALS Square Roots and Cube Roots DrSIMPLIFYING RADICALS Square Roots and Cube Roots Dr
Jeopardy Simplifying square roots Addition of Square rootJeopardy Simplifying square roots Addition of Square root
Square and Square Roots Cubes and Cube RootsSquare and Square Roots Cubes and Cube Roots
Square Roots and Solving Quadratics with Square RootsSquare Roots and Solving Quadratics with Square Roots
Squares Square Roots Perfect Square Square Number AlsoSquares Square Roots Perfect Square Square Number Also
Perfect Square Roots Approximating NonPerfect Square Roots 8Perfect Square Roots Approximating NonPerfect Square Roots 8
Square Roots 3 9 Finding Square Roots WarmSquare Roots 3 9 Finding Square Roots Warm
Square Roots 3 9 Finding Square Roots WarmSquare Roots 3 9 Finding Square Roots Warm
Lesson 1 Square and Square Roots Cubes andLesson 1 Square and Square Roots Cubes and
Squares Square Roots Perfect Squares Lesson 12 SquareSquares Square Roots Perfect Squares Lesson 12 Square
Squares Square Roots Perfect Squares Lesson 12 SquareSquares Square Roots Perfect Squares Lesson 12 Square
Squares Square Roots Perfect Squares Lesson 12 SquareSquares Square Roots Perfect Squares Lesson 12 Square
Finding Square Roots Cube Roots Lesson 1 1Finding Square Roots Cube Roots Lesson 1 1
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