Roots and Radicals

Section 9.1 Finding Roots

square roots
models
calculator
higher roots

Square Roots

Example:	Example:
Example	Example:
Example:	Example:
Example:	Example:

Modeling

Example: The formula models the maximum safe speed, v, in mph, at
which a car can travel on a curved road with radius r, in ft. What if the curve has a radius
360 ft?

On Calculator

Estimate

Example:

Example:

Ex:

nth root

If , then

Example:
Example:	Example:
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Example:	Example:
Example:	Example:

Section 9.2 Multiplying and Dividing Radicals

Multiplying Roots
Simplifying Roots
Quotient Rule

Multiplying Roots

Example:	Example:
Example:	Example:

Simplify Square Roots

Example:

Example:

Example:	Example:
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Example:

Multiply and Simplify :

Example:	Example:
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Quotient Rule :

Simplify .

Example:	Example:
Example:	Example:

Example:

In General:

Example:	Example:
Example:	Ex:

Ex: Solve for x :