What is the Square Root of 113?
The square root of 113 (√113) is 10.630146. 113 is an irrational square root rounded to 10.630146.
Exact Answer
√113 = 10.630146
Principal Root (√113)
10.630146
Real Roots
±10.630146
Perfect Square?
No (Irrational)
Exponential Form
113^(1/2)
Step-by-Step Solution: √113 = 10.630146
Step 1
Definition of Square Root
The square root of 113 is the number y such that y × y = 113.
√113 = 10.630146
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Principal Root (√113) | 10.630146 |
| Real Roots | ±10.630146 |
| Perfect Square? | No (Irrational) |
| Exponential Form | 113^(1/2) |
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Frequently Asked Questions
Is 113 a perfect square?
No, 113 is not a perfect square; its decimal approximation is 10.630146.