What is the Square Root of 137?
The square root of 137 (√137) is 11.7047. 137 is an irrational square root rounded to 11.7047.
Exact Answer
√137 = 11.7047
Principal Root (√137)
11.7047
Real Roots
±11.7047
Perfect Square?
No (Irrational)
Exponential Form
137^(1/2)
Step-by-Step Solution: √137 = 11.7047
Step 1
Definition of Square Root
The square root of 137 is the number y such that y × y = 137.
√137 = 11.7047
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Principal Root (√137) | 11.7047 |
| Real Roots | ±11.7047 |
| Perfect Square? | No (Irrational) |
| Exponential Form | 137^(1/2) |
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Frequently Asked Questions
Is 137 a perfect square?
No, 137 is not a perfect square; its decimal approximation is 11.7047.