Square root of 2825

The square root of 2825 is 53.150729 (rounded to 6 decimal places). In simplest radical form it is 5√113.

Square root of 2825

Pick any whole number from 1 to 10,000.

\sqrt{2825} = 5\sqrt{113} \approx 53.150729

How to work it out

1
The square root of 2825 is the number that multiplied by itself gives 2825.
2
2825 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: 2825 = 25 × 113, so
$\sqrt{2825} = \sqrt{25 \times 113} = 5\sqrt{113}$
4
A calculator, or long division of digits, gives
$\sqrt{2825} \approx 53.150729$

LaTeX source of the formulas on this page

\[ \sqrt{2825} = 5\sqrt{113} \approx 53.150729 \]
\[ \sqrt{2825} = \sqrt{25 \times 113} = 5\sqrt{113} \]
\[ \sqrt{2825} \approx 53.150729 \]

What is the square root of 2825?

The square root of 2825 is 53.150729 (rounded to 6 decimal places). In simplest radical form it is 5√113.

Is 2825 a perfect square?

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

What is 2825 squared?

2825 × 2825 = 7980625.

What is the square root of 2825 rounded to 2 decimals?

53.15.