This is a draft cheat sheet. It is a work in progress and is not finished yet.
Radicals
A = coefficient
n = index
√ = radical
x = radicand
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Like vs. Unlike Radicals
√3 and 2√3 |
2√3 and 2√4 |
radicands are the same |
radicands are not the same |
Mixed vs. Entire
Mixed |
Entire |
2√3 |
√12 |
³√5 |
³√40 |
a≠1 |
a=1 |
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Mixed to Entire
x√3) =√(x)(x)(x)(3)) =√3x² |
³√4x) =³√(x)(x)(x)((x)(4)(x)) = ³√4x |
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Entire to Mixed
√50 = (Factor tree) √(5)(5)(2)) = 5√2 |
x√18⁴ = (Factor tree [18 = {2,9}] Perfect square) = x√9√2√x⁴√y = (3x)x²√2y) = 3x²√2y |
Factor the radicand, so all factors are outside and look for perfect squares. |
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x√18x⁴y) |
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Entire to Mixed
√50 = (Factor tree) √(5)(5)(2)) = 5√2 |
x√18x⁴y) |
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