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If one side of an equation has a cube root, we can "undo" the root by cubing both sides of the equation. This works because a cube root represents an exponent of 1/3, so cubing that term would make the exponent 1. Recall that cube roots of negative numbers are negative (no need to use i's unless it's an even index on the root.) Check your work by substituting the x value back into the original equation.
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Concept (1)
Sample Problems (13)
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Solving an Equation with Radicals
Problem 1 4,399 viewsSolve:
4 ⋅ ∛x − 1 + 3 = 11 
Solving an Equation with Radicals
Problem 2 4,028 viewsSolve:
√x + 2 = x 
Solving an Equation with Radicals
Problem 3 3,657 viewsSolve:
√3x − 2 − √x + 3 = 1 
Solving an Equation with Radicals
Problem 4 191 views 
Solving an Equation with Radicals
Problem 5 185 views 
Solving an Equation with Radicals
Problem 6 183 views 
Solving an Equation with Radicals
Problem 7 180 views 
Solving an Equation with Radicals
Problem 8 177 views 
Solving an Equation with Radicals
Problem 9 169 views 
Solving an Equation with Radicals
Problem 10 174 views 
Solving an Equation with Radicals
Problem 11 172 views 
Solving an Equation with Radicals
Problem 12 167 views 
Solving an Equation with Radicals
Problem 13 174 views
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