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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:
Example: Example:
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:
Example: Example:

Example:

Multiply and Simplify :

Example: Example:
Example: Example:

Quotient Rule :

Simplify .

Example: Example:
Example: Example:

Example:

In General:

Example: Example:
Example: Ex:


Ex: Solve for x :

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