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Square root and cube root calculator

Roots come up everywhere: geometry homework, the Pythagorean theorem, standard deviations, and back-solving growth rates. Enter any number and get the square root and cube root instantly, plus any nth root from 2 to 12 with the n of your choice. Negative numbers are handled correctly — odd roots of negatives are real, even roots are flagged rather than silently wrong — and a check line shows the arithmetic so you can trust the answer at a glance.

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Square Root & Cube Root Calculator

Get square roots, cube roots, and any nth root — with the math shown.

Inputs used

Number144
For nth root, use n4 n

Results

Square root (√)12
Cube root (∛)5.24
nth rootⁿ√ with n = 4: 3.464102
Check12 × 12 = 144

Additional notes

CalcForgedPractical calculators. Straight answers.

Your estimate

Results

Planning estimate
Square root (√)12
Cube root (∛)5.24
nth rootⁿ√ with n = 4: 3.464102
Check12 × 12 = 144

The math, plainly

How it works

  1. 01

    The square root is the number that, multiplied by itself, gives your input.

  2. 02

    The cube root handles negatives correctly — ∛−27 is −3 — because odd roots of negatives are real.

  3. 03

    The nth root takes any n from 2 to 12; even roots of negative numbers have no real solution and the result says so.

Try a real scenario

144

InputsValue 144, n = 4

Result√144 = 12, ∛144 ≈ 5.24, and the 4th root is ≈ 3.46.

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