Square root of 2816

The square root of 2816 is 53.065997 (rounded to 6 decimal places). In simplest radical form it is 16√11.

Square root of 2816

Pick any whole number from 1 to 10,000.

\sqrt{2816} = 16\sqrt{11} \approx 53.065997

How to work it out

1
The square root of 2816 is the number that multiplied by itself gives 2816.
2
2816 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: 2816 = 256 × 11, so
$\sqrt{2816} = \sqrt{256 \times 11} = 16\sqrt{11}$
4
A calculator, or long division of digits, gives
$\sqrt{2816} \approx 53.065997$

LaTeX source of the formulas on this page

\[ \sqrt{2816} = 16\sqrt{11} \approx 53.065997 \]
\[ \sqrt{2816} = \sqrt{256 \times 11} = 16\sqrt{11} \]
\[ \sqrt{2816} \approx 53.065997 \]

What is the square root of 2816?

The square root of 2816 is 53.065997 (rounded to 6 decimal places). In simplest radical form it is 16√11.

Is 2816 a perfect square?

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

What is 2816 squared?

2816 × 2816 = 7929856.

What is the square root of 2816 rounded to 2 decimals?

53.07.