What is the Square Root of 256?
The square root of 256 (√256) is 16. 256 is a perfect square (16 × 16 = 256).
Exact Answer
√256 = 16
Principal Root (√256)
16
Real Roots
±16
Perfect Square?
Yes (16²)
Exponential Form
256^(1/2)
Step-by-Step Solution: √256 = 16
Step 1
Definition of Square Root
The square root of 256 is the number y such that y × y = 256.
√256 = 16
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Principal Root (√256) | 16 |
| Real Roots | ±16 |
| Perfect Square? | Yes (16²) |
| Exponential Form | 256^(1/2) |
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Frequently Asked Questions
Is 256 a perfect square?
Yes, 256 is a perfect square because 16 × 16 = 256.