Square root of 1022
The square root of 1022 is 31.968735 (rounded to 6 decimal places). It cannot be simplified.
Square root of 1022
Pick any whole number from 1 to 10,000.
How to work it out
- 1
The square root of 1022 is the number that multiplied by itself gives 1022.
- 2
1022 is between the perfect squares 31² = 961 and 32² = 1024, so its square root is between 31 and 32.
- 3
1022 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
\[ \sqrt{1022} = \sqrt{1022} \approx 31.968735 \]
\[ \sqrt{1022} \]
\[ \sqrt{1022} \approx 31.968735 \]Squares around 1022
| Number | Squared |
|---|---|
| 30 | 900 |
| 31 | 961 |
| 32 | 1024 |
| 33 | 1089 |
Questions
What is the square root of 1022?
The square root of 1022 is 31.968735 (rounded to 6 decimal places). It cannot be simplified.
Is 1022 a perfect square?
No. It lies between 31² = 961 and 32² = 1024.
What is 1022 squared?
1022 × 1022 = 1044484.
What is the square root of 1022 rounded to 2 decimals?
31.97.