Square root of 4008
The square root of 4008 is 63.308767 (rounded to 6 decimal places). In simplest radical form it is 2ā1002.
Square root of 4008
Pick any whole number from 1 to 10,000.
How to work it out
- 1
The square root of 4008 is the number that multiplied by itself gives 4008.
- 2
4008 is between the perfect squares 63² = 3969 and 64² = 4096, so its square root is between 63 and 64.
- 3
Pull out the biggest square factor: 4008 = 4 Ć 1002, so
- 4
A calculator, or long division of digits, gives
LaTeX source of the formulas on this page
\[ \sqrt{4008} = 2\sqrt{1002} \approx 63.308767 \]
\[ \sqrt{4008} = \sqrt{4 \times 1002} = 2\sqrt{1002} \]
\[ \sqrt{4008} \approx 63.308767 \]Squares around 4008
| Number | Squared |
|---|---|
| 62 | 3844 |
| 63 | 3969 |
| 64 | 4096 |
| 65 | 4225 |
Questions
What is the square root of 4008?
The square root of 4008 is 63.308767 (rounded to 6 decimal places). In simplest radical form it is 2ā1002.
Is 4008 a perfect square?
No. It lies between 63² = 3969 and 64² = 4096.
What is 4008 squared?
4008 Ć 4008 = 16064064.
What is the square root of 4008 rounded to 2 decimals?
63.31.