Root Calculator

The n-th root of a value.

Result —

How it works

Result = value^(1/n)

n = 2 is the square root, n = 3 the cube root. Negative values only have odd-degree real roots.

Worked example

√144 = 12; ∛27 = 3; √2 ≈ 1.414.

Fractional exponents are equivalent: 8^(1/3) = ∛8 = 2.

Notes and limitations

Even roots of negative numbers are not real; odd roots are fine. Roots and powers are inverses, but √(a+b) ≠ √a + √b — one of the most common algebra mistakes.

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