What is the Square Root of 174?
The square root of 174 (√174) is 13.190906. 174 is an irrational square root rounded to 13.190906.
Exact Answer
√174 = 13.190906
Principal Root (√174)
13.190906
Real Roots
±13.190906
Perfect Square?
No (Irrational)
Exponential Form
174^(1/2)
Step-by-Step Solution: √174 = 13.190906
Step 1
Definition of Square Root
The square root of 174 is the number y such that y × y = 174.
√174 = 13.190906
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Principal Root (√174) | 13.190906 |
| Real Roots | ±13.190906 |
| Perfect Square? | No (Irrational) |
| Exponential Form | 174^(1/2) |
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Frequently Asked Questions
Is 174 a perfect square?
No, 174 is not a perfect square; its decimal approximation is 13.190906.