What is the Square Root of 2249?
The square root of 2249 (√2249) is 47.423623. 2249 is an irrational square root rounded to 47.423623.
Exact Answer
√2249 = 47.423623
Principal Root (√2249)
47.423623
Real Roots
±47.423623
Perfect Square?
No (Irrational)
Exponential Form
2249^(1/2)
Step-by-Step Solution: √2249 = 47.423623
Step 1
Definition of Square Root
The square root of 2249 is the number y such that y × y = 2249.
√2249 = 47.423623
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Principal Root (√2249) | 47.423623 |
| Real Roots | ±47.423623 |
| Perfect Square? | No (Irrational) |
| Exponential Form | 2249^(1/2) |
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Frequently Asked Questions
Is 2249 a perfect square?
No, 2249 is not a perfect square; its decimal approximation is 47.423623.