Math Calculators
Square Root Calculator
Find the square root of any non-negative number, simplify radicals like √50 to 5√2, and see the nearest perfect squares.
Quick guide
Enter any non-negative number to get its square root. The calculator also simplifies the radical when possible (for example √50 = 5√2) and shows the nearest perfect squares.
Read the full explanationHow It Works
The square root of n is the number that multiplies by itself to give n. Radicals simplify by pulling out the largest perfect-square factor.
Formula Used
√n = n^(1/2); if n = a²·b then √n = a√b.
Example Calculation
√50 = √(25 × 2) = 5√2 ≈ 7.0710678.
Practical Use Cases
- Simplify radicals in algebra.
- Estimate roots between perfect squares.
- Verify geometry and distance calculations.