Simplify radicals, calculate square roots and cube roots, and evaluate nth roots with this free radical calculator.
Square root:
√x = x1/2
Cube root:
∛x = x1/3
Nth root:
n√x = x1/n
Simplify radical:
Factor out perfect powers from inside the radical
Radicals are used in algebra, geometry, trigonometry, science, and engineering to represent roots and irrational numbers.
They help simplify formulas, solve equations, and express exact values more clearly.
Your result shows the simplified radical or decimal root based on the selected mode. Supporting values help explain the root index, radicand, and simplified form.
This makes it easier to check algebra work, solve equations, and understand exact versus decimal radical answers.
A radical is an expression that uses a root symbol, such as a square root or cube root.
It means rewriting the radical so there are no perfect-power factors left inside when possible.
Exact form keeps the radical symbol, while decimal form gives an approximate numeric value.
No. Only perfect powers simplify to whole numbers. Many radicals remain irrational.