Square root of 2
The square root of 2 is 1.414214 (rounded to 6 decimal places). It cannot be simplified.
Square root of 2
Pick any whole number from 1 to 10,000.
How to work it out
- 1
The square root of 2 is the number that multiplied by itself gives 2.
- 2
2 is between the perfect squares 1² = 1 and 2² = 4, so its square root is between 1 and 2.
- 3
2 has no square factor bigger than 1, so the radical stays as it is.
- 4
A calculator, or long division of digits, gives
LaTeX source of the formulas on this page
\[ \sqrt{2} = \sqrt{2} \approx 1.414214 \]
\[ \sqrt{2} \]
\[ \sqrt{2} \approx 1.414214 \]Squares around 2
| Number | Squared |
|---|---|
| 1 | 1 |
| 2 | 4 |
| 3 | 9 |
Questions
What is the square root of 2?
The square root of 2 is 1.414214 (rounded to 6 decimal places). It cannot be simplified.
Is 2 a perfect square?
No. It lies between 1² = 1 and 2² = 4.
What is 2 squared?
2 × 2 = 4.
What is the square root of 2 rounded to 2 decimals?
1.41.