Square root of 2864

The square root of 2864 is 53.516353 (rounded to 6 decimal places). In simplest radical form it is 4√179.

Square root of 2864

Pick any whole number from 1 to 10,000.

\sqrt{2864} = 4\sqrt{179} \approx 53.516353

How to work it out

1
The square root of 2864 is the number that multiplied by itself gives 2864.
2
2864 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: 2864 = 16 × 179, so
$\sqrt{2864} = \sqrt{16 \times 179} = 4\sqrt{179}$
4
A calculator, or long division of digits, gives
$\sqrt{2864} \approx 53.516353$

LaTeX source of the formulas on this page

\[ \sqrt{2864} = 4\sqrt{179} \approx 53.516353 \]
\[ \sqrt{2864} = \sqrt{16 \times 179} = 4\sqrt{179} \]
\[ \sqrt{2864} \approx 53.516353 \]

What is the square root of 2864?

The square root of 2864 is 53.516353 (rounded to 6 decimal places). In simplest radical form it is 4√179.

Is 2864 a perfect square?

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

What is 2864 squared?

2864 × 2864 = 8202496.

What is the square root of 2864 rounded to 2 decimals?

53.52.