Square root of 1025

The square root of 1025 is 32.015621 (rounded to 6 decimal places). In simplest radical form it is 5√41.

Square root of 1025

Pick any whole number from 1 to 10,000.

\sqrt{1025} = 5\sqrt{41} \approx 32.015621

How to work it out

1
The square root of 1025 is the number that multiplied by itself gives 1025.
2
1025 is between the perfect squares 32² = 1024 and 33² = 1089, so its square root is between 32 and 33.
3
Pull out the biggest square factor: 1025 = 25 × 41, so
$\sqrt{1025} = \sqrt{25 \times 41} = 5\sqrt{41}$
4
A calculator, or long division of digits, gives
$\sqrt{1025} \approx 32.015621$

LaTeX source of the formulas on this page

\[ \sqrt{1025} = 5\sqrt{41} \approx 32.015621 \]
\[ \sqrt{1025} = \sqrt{25 \times 41} = 5\sqrt{41} \]
\[ \sqrt{1025} \approx 32.015621 \]

What is the square root of 1025?

The square root of 1025 is 32.015621 (rounded to 6 decimal places). In simplest radical form it is 5√41.

Is 1025 a perfect square?

No. It lies between 32² = 1024 and 33² = 1089.

What is 1025 squared?

1025 × 1025 = 1050625.

What is the square root of 1025 rounded to 2 decimals?

32.02.