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Geometry

Learn how to evaluate square roots and simplify radical expressions using the product and quotient properties. Practice simplifying radical expressions in this geometry lesson.

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Geometry

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  1. Geometry Lesson 0 – 9 Square Roots and Simplifying Radicals Objective: Evaluate square roots and simplify radical expressions.

  2. Product Property • Product property: • For any two positive numbers a and b,

  3. 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

  4. Simplify 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

  5. Simplify

  6. Simplify Simplifying may take more than one steps And can be worked different ways. Can still break down sq. root of 12. or

  7. Simplify OR

  8. Simplify

  9. Quotient Property • Quotient Property: • For any positive numbers a and b,

  10. Simplify

  11. 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.

  12. Simplify

  13. Simplify Multiply by what’s with the radical, Only switch the sign. Do FOIL method in denominator

  14. Simplify

  15. Simplify Break down numbers the same. Break down variables in to ‘squares’ Remember x * x = x2 x y2 z3

  16. Simplify

  17. Homework • Pg. P20 1 – 20 all

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