Square root of 1625

The square root of 1625 is 40.311289 (rounded to 6 decimal places). In simplest radical form it is 5√65.

Square root of 1625

Pick any whole number from 1 to 10,000.

\sqrt{1625} = 5\sqrt{65} \approx 40.311289

How to work it out

1
The square root of 1625 is the number that multiplied by itself gives 1625.
2
1625 is between the perfect squares 40² = 1600 and 41² = 1681, so its square root is between 40 and 41.
3
Pull out the biggest square factor: 1625 = 25 × 65, so
$\sqrt{1625} = \sqrt{25 \times 65} = 5\sqrt{65}$
4
A calculator, or long division of digits, gives
$\sqrt{1625} \approx 40.311289$

LaTeX source of the formulas on this page

\[ \sqrt{1625} = 5\sqrt{65} \approx 40.311289 \]
\[ \sqrt{1625} = \sqrt{25 \times 65} = 5\sqrt{65} \]
\[ \sqrt{1625} \approx 40.311289 \]

What is the square root of 1625?

The square root of 1625 is 40.311289 (rounded to 6 decimal places). In simplest radical form it is 5√65.

Is 1625 a perfect square?

No. It lies between 40² = 1600 and 41² = 1681.

What is 1625 squared?

1625 × 1625 = 2640625.

What is the square root of 1625 rounded to 2 decimals?

40.31.