Definition of a Square Root and Simplifying Radicals
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| 2) Describe how to simplify a radical.
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| 3) Explain how to determine when a radical is simplified.
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| 4) Describe when absolute value signs are used in simplifying radicals.
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For the following problems, find the square root. For responses that require non-keyboard symbols, the answer should be expressed in written form as shown in the example below.
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| 10) Simplify.
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| 11) Simplify.
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| 12) Simplify.
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Operations with Radicals
Adding and Subtracting Radicals
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| 13) Simplify.
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| 14) Simplify.
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| 15) Simplify.
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| 16) Simplify.
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| 17) Simplify.
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Multiplying Radicals and Dividing Radicals
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| 18) What is the process called when eliminating a radical from the denominator?
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| 19) Simplify.
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| 20) Simplify.
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| 21) Simplify.
Hint: After you simplify, rationalize the denominator.
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| 22) Simplify.
Hint: Combine the two radicals into one radical, then simplify the one radical.
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| 23) Simplify.
Hint: Use the FOIL method.
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| 24) Simplify. Assume all variables are positive numbers.
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| 25) Simplify. Assume all variables are positive numbers.
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| 26) Simplify. Assume all variables are positive numbers.
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Review
Click here to review the unit content explanation for Integers and Equations.
Click here to review the unit content explanation for Rational Numbers, Exponents, and Monomials.
Click here to review the unit content explanation for Linear Equations and Graphs.
Click here to review the unit content explanation for More Systems of Equations.
Click here to review the unit content explanation for Quadratics.
Click here to review the unit content explanation for More on Quadratics.
Click here to review the unit content explanation for Rational Expressions and Functions.
Click here to review the unit content explanation for Rational Expressions.
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| 29) Add.
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| 31) Simplify.
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| 32) Find the product of (6x + 1)(3x – 1).
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| 33) If you were directed by your school to complete Offline Activities for this course, please enter the information on the Log Entry form. |
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| No offline activities found |
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