What is the Square Root of 37?
The square root of 37 (√37) is 6.082763. 37 is an irrational square root rounded to 6.082763.
Exact Answer
√37 = 6.082763
Principal Root (√37)
6.082763
Real Roots
±6.082763
Perfect Square?
No (Irrational)
Exponential Form
37^(1/2)
Step-by-Step Solution: √37 = 6.082763
Step 1
Definition of Square Root
The square root of 37 is the number y such that y × y = 37.
√37 = 6.082763
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Principal Root (√37) | 6.082763 |
| Real Roots | ±6.082763 |
| Perfect Square? | No (Irrational) |
| Exponential Form | 37^(1/2) |
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Frequently Asked Questions
Is 37 a perfect square?
No, 37 is not a perfect square; its decimal approximation is 6.082763.