Square root of 284
The square root of 284 is 16.8523 (rounded to 6 decimal places). In simplest radical form it is 2ā71.
Square root of 284
Pick any whole number from 1 to 10,000.
How to work it out
- 1
The square root of 284 is the number that multiplied by itself gives 284.
- 2
284 is between the perfect squares 16Ā² = 256 and 17Ā² = 289, so its square root is between 16 and 17.
- 3
Pull out the biggest square factor: 284 = 4 Ć 71, so
- 4
A calculator, or long division of digits, gives
LaTeX source of the formulas on this page
\[ \sqrt{284} = 2\sqrt{71} \approx 16.8523 \]
\[ \sqrt{284} = \sqrt{4 \times 71} = 2\sqrt{71} \]
\[ \sqrt{284} \approx 16.8523 \]Squares around 284
| Number | Squared |
|---|---|
| 15 | 225 |
| 16 | 256 |
| 17 | 289 |
| 18 | 324 |
Questions
What is the square root of 284?
The square root of 284 is 16.8523 (rounded to 6 decimal places). In simplest radical form it is 2ā71.
Is 284 a perfect square?
No. It lies between 16Ā² = 256 and 17Ā² = 289.
What is 284 squared?
284 Ć 284 = 80656.
What is the square root of 284 rounded to 2 decimals?
16.85.