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Roots and Radicals

33 Lessons 2 hours

Explore square roots and radicals, simplify expressions with them, estimate and approximate their values, perform arithmetic operations, solve radical equations, and simplify expressions with higher roots and rational exponents.

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Tutorial Lessons

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Introduction to Roots and Radicals

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2

Simplifying Expressions With Square Roots

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3

Estimating Square Roots

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4

Approximating Square Roots

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5

Simplifying Variable Expressions With Square Roots

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6

Simplifying and Using Square Roots Summary

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7

Defining Simplify Square Roots

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Using the Product Property to Simplify Square Roots

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9

Using the Quotient Property to Simplify Square Roots

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10

Simplifying and Using Square Roots Summary

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11

Defining Like Square Roots

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12

Adding and Subtracting Like Square Roots

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13

Adding and Subtracting Square Roots That Need Simplification

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14

Adding and Subtracting Square Roots Summary

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15

Multiplying Square Roots

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16

Using Polynomial Multiplication to Multiply Square Roots

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17

Multiplying Square Roots Summary

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18

Dividing Square Roots

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Rationalizing a One Term Denominator

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20

Rationalizing a Two-term Denominator

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21

Dividing Square Roots Summary

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22

Solving Radical Equations

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Using Square Roots in Applications

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24

Solving Equations With Square Roots Summary

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Simplifying Expressions With Higher Roots

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26

Using the Product Property to Simplify Expressions With Higher Roots

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27

Using the Quotient Property to Simplify Expressions With Higher Roots

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28

Adding and Subtracting Higher Roots

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29

Summarizing Higher Roots

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30

Simplifying Expressions With a1/n

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31

Simplifying Expressions With am/n

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32

Using the Laws of Exponents to Simplify Expressions With Rational Exponents

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33

Summarizing Rational Exponents

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