Chapter 7.5-7.7 Test Outline
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(Created page with "7.5: Operations with Radical Expressions * product and quotient properties * simplifying radical expressions # the index n is as small as possible # radicand without nth powers #...") |
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* evaluate with rational exponents | * evaluate with rational exponents | ||
* simplifying with rational exponents | * simplifying with rational exponents | ||
| − | + | # leave in rational form | |
| − | + | # all positive exponents | |
| − | + | # exponents in denominators must be positive integers (may need to rationalize denominator) | |
7.7: Solving Radical Equations and Inequalities | 7.7: Solving Radical Equations and Inequalities | ||
| − | * solve for the variable and '''check''' the answer | + | * solve for the variable and '''check''' if the answer is an '''extraneous solution''' |
* use inverses: roots (and fractional powers) are inverses of powers | * use inverses: roots (and fractional powers) are inverses of powers | ||
| − | * solve radical inequalities | + | * solve '''radical inequalities''' |
| − | ** | + | ** hidden inequalities from the even roots |
| − | ** solve for the variable | + | ** solve for the variable in all inequalities |
| + | ** all inequalities must be satisfied: "and" | ||
| + | ** visualize and test answer with a number line | ||
