Calculator Inputs
Select operation and enter values.
Result
Computed value based on inputs.
Math Rules
The n-th root of a number x is a number r which, when raised to the power n, yields x.
Root & Radical Guide Guide
How to Use
- 1Enter the number (Radicand) you want to find the root of.
- 2Enter the Nth root degree (e.g., 2 for square root, 3 for cube root).
- 3Click calculate to find the root value.
Formula & Logic
Finding the nth root is the inverse operation of raising a number to the nth power. It asks 'what number multiplied by itself n times gives me x?'
Practical Applications
Geometry
Find the side length of a square given its area (square root) or a cube given its volume (cube root).
Statistics
Calculate Standard Deviation, which involves taking the square root of the Variance.
Physics
Used in Root Mean Square (RMS) calculations for AC voltage and current.
Frequently Asked Questions
Q.Can I find the square root of a negative number?
For real numbers, no. The square root of a negative number is an imaginary number (involving i). This calculator currently supports real number roots.
Q.What is a Perfect Square?
A perfect square is a number that has an integer as its square root (e.g., 4, 9, 16, 25).
Q.Is calculating roots the same as fractional exponents?
Yes! calculating the nth root of x is mathematically identical to raising x to the power of 1/n.