Square root of 205
The square root of 205 is 14.317821 (rounded to 6 decimal places). It cannot be simplified.
Square root of 205
Pick any whole number from 1 to 10,000.
How to work it out
- 1
The square root of 205 is the number that multiplied by itself gives 205.
- 2
205 is between the perfect squares 14² = 196 and 15² = 225, so its square root is between 14 and 15.
- 3
205 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
\[ \sqrt{205} = \sqrt{205} \approx 14.317821 \]
\[ \sqrt{205} \]
\[ \sqrt{205} \approx 14.317821 \]Squares around 205
| Number | Squared |
|---|---|
| 13 | 169 |
| 14 | 196 |
| 15 | 225 |
| 16 | 256 |
Questions
What is the square root of 205?
The square root of 205 is 14.317821 (rounded to 6 decimal places). It cannot be simplified.
Is 205 a perfect square?
No. It lies between 14² = 196 and 15² = 225.
What is 205 squared?
205 × 205 = 42025.
What is the square root of 205 rounded to 2 decimals?
14.32.