Square root of 2889

The square root of 2889 is 53.749419 (rounded to 6 decimal places). In simplest radical form it is 3√321.

Square root of 2889

Pick any whole number from 1 to 10,000.

\sqrt{2889} = 3\sqrt{321} \approx 53.749419

How to work it out

1
The square root of 2889 is the number that multiplied by itself gives 2889.
2
2889 is between the perfect squares 53² = 2809 and 54² = 2916, so its square root is between 53 and 54.
3
Pull out the biggest square factor: 2889 = 9 × 321, so
$\sqrt{2889} = \sqrt{9 \times 321} = 3\sqrt{321}$
4
A calculator, or long division of digits, gives
$\sqrt{2889} \approx 53.749419$

LaTeX source of the formulas on this page

\[ \sqrt{2889} = 3\sqrt{321} \approx 53.749419 \]
\[ \sqrt{2889} = \sqrt{9 \times 321} = 3\sqrt{321} \]
\[ \sqrt{2889} \approx 53.749419 \]

What is the square root of 2889?

The square root of 2889 is 53.749419 (rounded to 6 decimal places). In simplest radical form it is 3√321.

Is 2889 a perfect square?

No. It lies between 53² = 2809 and 54² = 2916.

What is 2889 squared?

2889 × 2889 = 8346321.

What is the square root of 2889 rounded to 2 decimals?

53.75.