What is the Square Root of 10?
The square root of 10 (√10) is 3.162278. 10 is an irrational square root rounded to 3.162278.
Exact Answer
√10 = 3.162278
Principal Root (√10)
3.162278
Real Roots
±3.162278
Perfect Square?
No (Irrational)
Exponential Form
10^(1/2)
Step-by-Step Solution: √10 = 3.162278
Step 1
Definition of Square Root
The square root of 10 is the number y such that y × y = 10.
√10 = 3.162278
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Principal Root (√10) | 3.162278 |
| Real Roots | ±3.162278 |
| Perfect Square? | No (Irrational) |
| Exponential Form | 10^(1/2) |
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Frequently Asked Questions
Is 10 a perfect square?
No, 10 is not a perfect square; its decimal approximation is 3.162278.