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Published byColeen Poole Modified over 9 years ago
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Lesson 0 – 9 Square Roots and Simplifying Radicals
Geometry Lesson 0 – 9 Square Roots and Simplifying Radicals Objective: Evaluate square roots and simplify radical expressions.
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Product Property Product property:
For any two positive numbers a and b,
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Simplifying radicals A radical expression (square root expression) is simplified when the following are met: No perfect square factors No fractions inside the radical sign No radicals in the denominator Expression has only 1 radical sign
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Simplify Notice that 9*5 = 45
Is there a perfect square that is a factor of 45? If so break down the expression, if not it is already simplified. Notice that 9*5 = 45 Use your calculator to check
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Simplify
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Simplify Simplifying may take more than one steps
And can be worked different ways. Can still break down sq. root of 12. or
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Simplify OR
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Simplify
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Quotient Property Quotient Property: For any positive numbers a and b,
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Simplify
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Simplify Is not simplified because of the radical in the denominator.
You can do anything to a fraction as long as you do it to the numerator and denominator.
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Simplify
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Simplify Do FOIL method in denominator
Multiply by what’s with the radical, Only switch the sign. Do FOIL method in denominator
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Simplify
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x y2 z3 Simplify Break down numbers the same.
Break down variables in to ‘squares’ Remember x * x = x2 x y2 z3
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Simplify
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Homework Pg. P20 1 – 20 all
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