Square root of 214
The square root of 214 is 14.628739 (rounded to 6 decimal places). It cannot be simplified.
Square root of 214
Pick any whole number from 1 to 10,000.
How to work it out
- 1
The square root of 214 is the number that multiplied by itself gives 214.
- 2
214 is between the perfect squares 14² = 196 and 15² = 225, so its square root is between 14 and 15.
- 3
214 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
\[ \sqrt{214} = \sqrt{214} \approx 14.628739 \]
\[ \sqrt{214} \]
\[ \sqrt{214} \approx 14.628739 \]Squares around 214
| Number | Squared |
|---|---|
| 13 | 169 |
| 14 | 196 |
| 15 | 225 |
| 16 | 256 |
Questions
What is the square root of 214?
The square root of 214 is 14.628739 (rounded to 6 decimal places). It cannot be simplified.
Is 214 a perfect square?
No. It lies between 14² = 196 and 15² = 225.
What is 214 squared?
214 × 214 = 45796.
What is the square root of 214 rounded to 2 decimals?
14.63.