What is the Square Root of 2209?
The square root of 2209 (√2209) is 47. 2209 is a perfect square (47 × 47 = 2209).
Exact Answer
√2209 = 47
Principal Root (√2209)
47
Real Roots
±47
Perfect Square?
Yes (47²)
Exponential Form
2209^(1/2)
Step-by-Step Solution: √2209 = 47
Step 1
Definition of Square Root
The square root of 2209 is the number y such that y × y = 2209.
√2209 = 47
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Principal Root (√2209) | 47 |
| Real Roots | ±47 |
| Perfect Square? | Yes (47²) |
| Exponential Form | 2209^(1/2) |
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Frequently Asked Questions
Is 2209 a perfect square?
Yes, 2209 is a perfect square because 47 × 47 = 2209.