Square root of 1008
The square root of 1008 is 31.749016 (rounded to 6 decimal places). In simplest radical form it is 12ā7.
Square root of 1008
Pick any whole number from 1 to 10,000.
How to work it out
- 1
The square root of 1008 is the number that multiplied by itself gives 1008.
- 2
1008 is between the perfect squares 31Ā² = 961 and 32Ā² = 1024, so its square root is between 31 and 32.
- 3
Pull out the biggest square factor: 1008 = 144 Ć 7, so
- 4
A calculator, or long division of digits, gives
LaTeX source of the formulas on this page
\[ \sqrt{1008} = 12\sqrt{7} \approx 31.749016 \]
\[ \sqrt{1008} = \sqrt{144 \times 7} = 12\sqrt{7} \]
\[ \sqrt{1008} \approx 31.749016 \]Squares around 1008
| Number | Squared |
|---|---|
| 30 | 900 |
| 31 | 961 |
| 32 | 1024 |
| 33 | 1089 |
Questions
What is the square root of 1008?
The square root of 1008 is 31.749016 (rounded to 6 decimal places). In simplest radical form it is 12ā7.
Is 1008 a perfect square?
No. It lies between 31Ā² = 961 and 32Ā² = 1024.
What is 1008 squared?
1008 Ć 1008 = 1016064.
What is the square root of 1008 rounded to 2 decimals?
31.75.