| Radical expressions are more than just finding square roots, cube roots, and so on. They can be manipulated in equations and used to solve application problems. Radical expressions can be written in several forms, as well as added, subtracted, multiplied and divided. When radicals are expressed in exponential form, all of the rules of exponents apply. We will begin studying exponents and radicals by learning to translate between forms and to express each in reduced form. You will draw on your skills of working with fractions and exponents from previous modules. |
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14.1 Simplifying Radical Expressions |
- Translate between radical form and exponent form.
- Simplify radical expressions.
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14.2 Operations on Radical Expressions |
- Perform addition and subtraction of radical expressions.
- Perform multiplication of radical expressions.
- Clear a radical from the denominator of a fraction.
- Divide radical expressions, ensuring no radical in the denominator.
- Show division in exponent form, when applicable. |
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14.3 Solving Radical Equations |
- Solve equations with radicals.
- Distinguish between real and non-real solutions. |
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14.4 Complex Numbers |
- Simplify radical expressions with negative radicands using i.
- Evaluate radical expressions with negative radicands using i.
- Add and subtract complex numbers.
- Multiply and divide complex numbers. |
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14.5 Additional Assignments |
| - Find the distance between two points given the coordinates of the points. |
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