Product Rule for Radicals
Simplifying Radicals
Objective: To simplify radical
expressions using the product
and quotient rules.
Product Rule Practice
Quotient Rule for Radicals
Quotient Rule Practice
Special Note
For
both the product and
quotient properties, you
must have the _____ index!
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Rules for Simplifying Radicals
1.
2.
3.
4.
No factor under the radical has a higher
power than the root.
No __________ under radical.
No radical in __________.
No __________ __________ between root
and exponents in radical.
Removing Perfect-Square
Factors
Re-write the radicand as a
__________ of perfect-square
factors times any remaining factors.
Practice Simplifying Radicals
Practice Simplifying Radicals
Removing Variable Factors
Practice with Variables
__________ variable exponents by the
root and leave any remainder under the
radical.
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Smaller Indexes
__________ using exponents.
__________ exponent, if possible.
Simplify.
Re-write in __________ form.
Distance Formula
Smaller Indexes
Find the distance between the
given points.
To find the __________ between the
points (x1, y1) and (x2, y2) use this formula:
(-3, 2) & (0, -4)
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