Root Calculator
Calculate square roots, cube roots, and any custom nth root with formulas and explanations.
Result
Principal Root
Negative Root
Fractional Approximation
Formula
What is a Root Calculator?
A root calculator computes the nth root of a number. The square root (n=2) and cube root (n=3) are the most common, but any positive integer degree is supported.
How to Use
- Enter the number you want to find the root of.
- Enter the root degree (2 for square, 3 for cube, or any positive integer).
- Click Calculate to see the principal root, negative root (if applicable), approximation, and formula.
Frequently Asked Questions
What is the principal root?
The principal root is the non-negative real root of a number. For even degrees of positive numbers, there is also a negative root.
Can I calculate roots of negative numbers?
Yes, but only for odd degrees. Odd roots of negative numbers are real and negative. Even roots of negative numbers are not real numbers.
What formula is used?
The calculator uses the formula nth root of x = x^(1/n). For negative x and odd n, it computes -|x|^(1/n).
Is this calculator free?
Yes, BestCalc calculators are completely free and run entirely in your browser.