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.
40 cards · basic cards · AI-written, checked twice. Edit anything.
- What is a radical expression?
Show answer
An expression involving a root, such as a square root or cube root- What is the index of a radical?
Show answer
The small number indicating which root is being taken (2 for square root, 3 for cube root, etc.)- What is a radicand?
Show answer
The expression under the radical sign- Simplify: sqrt(50)
Show answer
5 times the square root of 2- What is a rational exponent?
Show answer
A fractional exponent representing a root, such as x^(1/2) for a square root- What does x^(1/n) represent?
Show answer
The nth root of x- What does x^(m/n) represent?
Show answer
The nth root of x raised to the mth power- How do you simplify a radical expression with a perfect square factor?
Show answer
Factor out the perfect square and take its root- What is a like radical?
Show answer
Radicals with the same index and radicand, which can be combined- Add: 2 times sqrt(3) plus 5 times sqrt(3)
Show answer
7 times the square root of 3- How do you multiply two radical expressions?
Show answer
Multiply the values under the radicals, then simplify- What is rationalizing the denominator?
Show answer
Removing a radical from the denominator of a fraction- How do you rationalize a denominator with a single square root term?
Show answer
Multiply numerator and denominator by that same square root- What is a conjugate used for, when rationalizing a binomial denominator with a radical?
Show answer
Multiplying by it eliminates the radical using the difference of squares pattern- What is a radical equation?
Show answer
An equation containing a variable inside a radical
FlashKeepers