Root Calculator
Calculate the square root or nth root of a number.
Square Root Calculator (√)
Cube Root Calculator (³√)
Nth Root Calculator (ⁿ√x)
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Calculate the Square, Cube, or Nth Root of Any Number
Our Root Calculator allows you to easily find the square root, cube root, or any other integer root of a number.
What is a Root Calculator?
A Root Calculator is a mathematical tool that performs the operation of finding a root, which is the inverse of exponentiation. It can find the common square root (2nd root) and cube root (3rd root), as well as any nth root of a number. This is a fundamental operation in algebra and various scientific fields.
How It Works: Finding the Root
The calculator uses the property that the nth root of a number is the same as raising that number to the power of 1/n.
ⁿ√x = x¹/ⁿ
Frequently Asked Questions
How do you calculate a root of a number?
Calculating a root is the inverse operation of exponentiation. The nth root of a number x is a number r which, when raised to the power of n, equals x (rⁿ = x). For example, the cube root of 27 is 3 because 3³ = 27. Our calculator can find the square root, cube root, or any nth root.
What is the square root of 2?
The square root of 2 is an irrational number, approximately equal to 1.414. This means it cannot be expressed as a simple fraction.
Can you take the root of a negative number?
You can take an odd root (like a cube root) of a negative number, and the result will be negative. However, you cannot take an even root (like a square root) of a negative number and get a real number result; the answer will be a complex or imaginary number.
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