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Root Calculator
Square, cube, and nth root
How It Works
In mathematics, the general root, or the nth root of a number a is another number b that when multiplied by itself n times, equals a. Common roots include the square root (n=2) and the cubed root (n=3).
In mathematics, the general root, or the nth root of a number a is another number b that when multiplied by itself n times, equals a. In equation format: ⁿ√a = b, where b^n = a.
Estimating a Square Root: Calculating square roots requires estimation and trial and error. To calculate √a: (1) Estimate a number b. (2) Divide a by b. If the number c returned is precise to the desired decimal place, stop. (3) Average b and c and use the result as a new guess. (4) Repeat step two.
Estimating an nth Root: Calculating nth roots can be done using a similar method. To calculate ⁿ√a: (1) Estimate a number b. (2) Divide a by b^(n−1). If the number c returned is precise to the desired decimal place, stop. (3) Average: [b×(n−1) + c] / n. (4) Repeat step two.
Results
Enter values to see results
Quick Tips
- • Results update automatically as you type
- • Use Tab to navigate between fields
- • Press Enter to calculate