Square Root Calculator
Instantly convert between a number x and its principal square root √x.
Step-by-step derivation
Enter any one field to see the derivation.
References
- Square root (principal root) and definition (y^2=x).
- Exponent notation (x^{1/2}) for (sqrt{x}).
Use this Square Root Calculator to find the principal square root of a nonnegative number or reverse the calculation by finding the original number from its square root.
Calculation Method
Square root:
y = √x
Reverse calculation:
x = y²
The radical symbol √ represents the principal, nonnegative square root.
Example
Find the square root of 144:
√144 = 12
because:
12 × 12 = 144
Important Note
This calculator works with real-number square roots. Negative numbers do not have real square roots and require complex-number mathematics.