Square root of 2625

The square root of 2625 is 51.234754 (rounded to 6 decimal places). In simplest radical form it is 5√105.

Square root of 2625

Pick any whole number from 1 to 10,000.

\sqrt{2625} = 5\sqrt{105} \approx 51.234754

How to work it out

1
The square root of 2625 is the number that multiplied by itself gives 2625.
2
2625 is between the perfect squares 51² = 2601 and 52² = 2704, so its square root is between 51 and 52.
3
Pull out the biggest square factor: 2625 = 25 × 105, so
$\sqrt{2625} = \sqrt{25 \times 105} = 5\sqrt{105}$
4
A calculator, or long division of digits, gives
$\sqrt{2625} \approx 51.234754$

LaTeX source of the formulas on this page

\[ \sqrt{2625} = 5\sqrt{105} \approx 51.234754 \]
\[ \sqrt{2625} = \sqrt{25 \times 105} = 5\sqrt{105} \]
\[ \sqrt{2625} \approx 51.234754 \]

What is the square root of 2625?

The square root of 2625 is 51.234754 (rounded to 6 decimal places). In simplest radical form it is 5√105.

Is 2625 a perfect square?

No. It lies between 51² = 2601 and 52² = 2704.

What is 2625 squared?

2625 × 2625 = 6890625.

What is the square root of 2625 rounded to 2 decimals?

51.23.