What is the Square Root of 400?
The square root of 400 (√400) is 20. 400 is a perfect square (20 × 20 = 400).
Exact Answer
√400 = 20
Principal Root (√400)
20
Real Roots
±20
Perfect Square?
Yes (20²)
Exponential Form
400^(1/2)
Step-by-Step Solution: √400 = 20
Step 1
Definition of Square Root
The square root of 400 is the number y such that y × y = 400.
√400 = 20
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Principal Root (√400) | 20 |
| Real Roots | ±20 |
| Perfect Square? | Yes (20²) |
| Exponential Form | 400^(1/2) |
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Frequently Asked Questions
Is 400 a perfect square?
Yes, 400 is a perfect square because 20 × 20 = 400.