Algebra 2, Unit 5: Radical Functions and Equations. Key terms, formulas, and worked-example cues a high school student meets for this unit, building on prior units. Front: the term, formula name, or short problem cue. Back: the definition, formula, or solution method.
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- What is a radical expression?
- An expression involving a root, such as a square root or cube root
- What is the index of a radical?
- The small number indicating which root is being taken (2 for square root, 3 for cube root, etc.)
- What is a radicand?
- The expression under the radical sign
- Simplify: sqrt(50)
- 5 times the square root of 2
- What is a rational exponent?
- A fractional exponent representing a root, such as x^(1/2) for a square root
- What does x^(1/n) represent?
- The nth root of x
- What does x^(m/n) represent?
- The nth root of x raised to the mth power
- How do you simplify a radical expression with a perfect square factor?
- Factor out the perfect square and take its root
- What is a like radical?
- Radicals with the same index and radicand, which can be combined
- Add: 2 times sqrt(3) plus 5 times sqrt(3)
- 7 times the square root of 3
- How do you multiply two radical expressions?
- Multiply the values under the radicals, then simplify
- What is rationalizing the denominator?
- Removing a radical from the denominator of a fraction
- How do you rationalize a denominator with a single square root term?
- Multiply numerator and denominator by that same square root
- What is a conjugate used for, when rationalizing a binomial denominator with a radical?
- Multiplying by it eliminates the radical using the difference of squares pattern
- What is a radical equation?
- An equation containing a variable inside a radical
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