What is the Square Root of 8?
The square root of 8 (√8) is 2.828427. 8 is an irrational square root rounded to 2.828427.
Exact Answer
√8 = 2.828427
Principal Root (√8)
2.828427
Real Roots
±2.828427
Perfect Square?
No (Irrational)
Exponential Form
8^(1/2)
Step-by-Step Solution: √8 = 2.828427
Step 1
Definition of Square Root
The square root of 8 is the number y such that y × y = 8.
√8 = 2.828427
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Principal Root (√8) | 2.828427 |
| Real Roots | ±2.828427 |
| Perfect Square? | No (Irrational) |
| Exponential Form | 8^(1/2) |
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Frequently Asked Questions
Is 8 a perfect square?
No, 8 is not a perfect square; its decimal approximation is 2.828427.