Square root of 3328
The square root of 3328 is 57.68882 (rounded to 6 decimal places). In simplest radical form it is 16ā13.
Square root of 3328
Pick any whole number from 1 to 10,000.
How to work it out
- 1
The square root of 3328 is the number that multiplied by itself gives 3328.
- 2
3328 is between the perfect squares 57² = 3249 and 58² = 3364, so its square root is between 57 and 58.
- 3
Pull out the biggest square factor: 3328 = 256 Ć 13, so
- 4
A calculator, or long division of digits, gives
LaTeX source of the formulas on this page
\[ \sqrt{3328} = 16\sqrt{13} \approx 57.68882 \]
\[ \sqrt{3328} = \sqrt{256 \times 13} = 16\sqrt{13} \]
\[ \sqrt{3328} \approx 57.68882 \]Squares around 3328
| Number | Squared |
|---|---|
| 56 | 3136 |
| 57 | 3249 |
| 58 | 3364 |
| 59 | 3481 |
Questions
What is the square root of 3328?
The square root of 3328 is 57.68882 (rounded to 6 decimal places). In simplest radical form it is 16ā13.
Is 3328 a perfect square?
No. It lies between 57² = 3249 and 58² = 3364.
What is 3328 squared?
3328 Ć 3328 = 11075584.
What is the square root of 3328 rounded to 2 decimals?
57.69.