Square root of 3840
The square root of 3840 is 61.967734 (rounded to 6 decimal places). In simplest radical form it is 16ā15.
Square root of 3840
Pick any whole number from 1 to 10,000.
How to work it out
- 1
The square root of 3840 is the number that multiplied by itself gives 3840.
- 2
3840 is between the perfect squares 61Ā² = 3721 and 62Ā² = 3844, so its square root is between 61 and 62.
- 3
Pull out the biggest square factor: 3840 = 256 Ć 15, so
- 4
A calculator, or long division of digits, gives
LaTeX source of the formulas on this page
\[ \sqrt{3840} = 16\sqrt{15} \approx 61.967734 \]
\[ \sqrt{3840} = \sqrt{256 \times 15} = 16\sqrt{15} \]
\[ \sqrt{3840} \approx 61.967734 \]Squares around 3840
| Number | Squared |
|---|---|
| 60 | 3600 |
| 61 | 3721 |
| 62 | 3844 |
| 63 | 3969 |
Questions
What is the square root of 3840?
The square root of 3840 is 61.967734 (rounded to 6 decimal places). In simplest radical form it is 16ā15.
Is 3840 a perfect square?
No. It lies between 61Ā² = 3721 and 62Ā² = 3844.
What is 3840 squared?
3840 Ć 3840 = 14745600.
What is the square root of 3840 rounded to 2 decimals?
61.97.