Square root of 2125

The square root of 2125 is 46.097722 (rounded to 6 decimal places). In simplest radical form it is 5√85.

Square root of 2125

Pick any whole number from 1 to 10,000.

\sqrt{2125} = 5\sqrt{85} \approx 46.097722

How to work it out

1
The square root of 2125 is the number that multiplied by itself gives 2125.
2
2125 is between the perfect squares 46² = 2116 and 47² = 2209, so its square root is between 46 and 47.
3
Pull out the biggest square factor: 2125 = 25 × 85, so
$\sqrt{2125} = \sqrt{25 \times 85} = 5\sqrt{85}$
4
A calculator, or long division of digits, gives
$\sqrt{2125} \approx 46.097722$

LaTeX source of the formulas on this page

\[ \sqrt{2125} = 5\sqrt{85} \approx 46.097722 \]
\[ \sqrt{2125} = \sqrt{25 \times 85} = 5\sqrt{85} \]
\[ \sqrt{2125} \approx 46.097722 \]

What is the square root of 2125?

The square root of 2125 is 46.097722 (rounded to 6 decimal places). In simplest radical form it is 5√85.

Is 2125 a perfect square?

No. It lies between 46² = 2116 and 47² = 2209.

What is 2125 squared?

2125 × 2125 = 4515625.

What is the square root of 2125 rounded to 2 decimals?

46.10.