Square Root of Zero
Square Root of Zero
The square root of zero is 0. It is the only number whose square root equals itself.
√0 = 0
Proof
By definition, √x = y means y² = x. So √0 = y means y² = 0. The only number whose square is 0 is 0 itself. Therefore √0 = 0.
Key properties of √0
- ✓ √0 = 0 (real number)
- ✓ 0 is a perfect square (0 = 0²)
- ✓ 0 is neither positive nor negative
- ✓ 0 × 0 = 0, confirming √0 = 0