Presentation on theme: "Simplifying Radicals."— Presentation transcript:

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

Simplify = 4 = 2 = 10 = 5 = 12

For nonnegative real numbers a and b, and That is, the product of two square roots is the square root of the product, and the square root of a product is the product of the square roots. It is important to note that the radicands not be negative numbers in the product rule. Also, in general,

Simplify radicals using the product rule.
A square root radical is simplified when no perfect square factor remains under the radical sign. This can be accomplished by using the product rule:

EXAMPLE 3 Find each product and simplify.
Multiplying and Simplifying Radicals Find each product and simplify.

Simplify radicals by using the quotient rule.
The quotient rule for radicals is similar to the product rule.

EXAMPLE 5 Using the Quotient Rule to Divide Radicals Simplify.

EXAMPLE 6 Using Both the Product and Quotient Rules Simplify.