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Friday 1st of July Home Square Roots and Radical Expressions Solving Radical Equations Simplifying Radical Expressions Irrational Numbers in General and Square Roots in Particular Roots of Polynomials Simplifying Radical Expressions Exponents and Radicals Products and Quotients Involving Radicals Roots of Quadratic Equations Radical Expressions Radicals and Rational Exponents Find Square Roots and Compare Real Numbers Radicals Radicals and Rational Exponents Theorems on the Roots of Polynomial Equations SYNTHETIC DIVISION AND BOUNDS ON ROOTS Simplifying Radical Expressions Exponents and Radicals Properties of Exponents and Square Roots Solving Radical Equations Rational Exponents and Radicals,Rationalizing Denominators Rational Exponents and Radicals,Rationalizing Denominators Quadratic Roots Exponents and Roots Multiplying Radical Expressions Exponents and Radicals Solving Radical Equations Solving Quadratic Equations by Factoring and Extracting Roots Newton's Method for Finding Roots Roots of Quadratic Equations Studio Roots, Radicals, and Root Functions Review division factoring and Root Finding Radicals Simplifying Radical Expressions Multiplying and Simplifying Radical Expressions LIKE RADICALS Multiplication and Division of Radicals Radical Equations BOUNDING ROOTS OF POLYNOMIALS
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Definition of the Principal Square
Root

• If a is nonnegative real number, the
nonnegative number b such that denoted by ,is the principle square
root
of a

Square Roots of Perfect Square The Product Rule for Square Roots

• If a and b represent nonnegative real
number, then and • The square root of product is the product
of the square roots

Text Example

• Simple : solution : The Quotient Rule for Square Roots

• If a and b does represent nonnegative real
numbers and b does no equal 0, then and • The square root of quotient  is the
quotient of the square roots

Text Example

• Simple : solution : Example

• Perform the indicated operation: solution : • Perform the indicated operation: solution : Definition of the Principal nth Root
of a Real Number means that • If n ,the index , is even , then a is
nonnegative (a≥0)and b is also
nonnegative (b≥0).If n is odd ,a and b
can be any real numbers.

Finding the nth Roots of Perfect
th Powers

If n is odd , If n is even The Product and Quotient Rules
for nth Roots

• For all real numbers ,where the indicated
roots represent real numbers, and Definition of Rational Exponents Furthermore Example

• Simple : solution: Definition of Rational Exponents •The exponents m/n consists of two parts :the
denominator n is the root and the numerator
m is  the exponent. Furthermore . 