What is the Square Root of 2?
The square root of 2 (√2) is 1.414214. 2 is an irrational square root rounded to 1.414214.
Exact Answer
√2 = 1.414214
Principal Root (√2)
1.414214
Real Roots
±1.414214
Perfect Square?
No (Irrational)
Exponential Form
2^(1/2)
Step-by-Step Solution: √2 = 1.414214
Step 1
Definition of Square Root
The square root of 2 is the number y such that y × y = 2.
√2 = 1.414214
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Principal Root (√2) | 1.414214 |
| Real Roots | ±1.414214 |
| Perfect Square? | No (Irrational) |
| Exponential Form | 2^(1/2) |
Was this solution helpful?
Help us improve our free step-by-step tools
Frequently Asked Questions
Is 2 a perfect square?
No, 2 is not a perfect square; its decimal approximation is 1.414214.