Calculator Uni

Root Calculator

Calculate square roots, cube roots, and nth roots.

Number & root

Cube root of 64

4

Check: result^n

64

Square root

8

Roots are fractional exponents

The nth root of x is x^(1/n): √64 = 8 because 8² = 64, and ∛64 = 4. Odd roots handle negatives cleanly (∛−27 = −3); even roots of negatives leave the real numbers entirely.

Estimating by hand

Bracket with known squares or cubes: √50 sits between √49 = 7 and √64 = 8, nearer 7. One round of averaging (7 + 50/7)/2 ≈ 7.07 nails it to two decimals — the same Newton iteration your calculator uses internally.

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