Square root of 632

The square root of 632 is 25.13961 (rounded to 6 decimal places). In simplest radical form it is 2√158.

Square root of 632

Pick any whole number from 1 to 10,000.

\sqrt{632} = 2\sqrt{158} \approx 25.13961

How to work it out

1
The square root of 632 is the number that multiplied by itself gives 632.
2
632 is between the perfect squares 25² = 625 and 26² = 676, so its square root is between 25 and 26.
3
Pull out the biggest square factor: 632 = 4 × 158, so
$\sqrt{632} = \sqrt{4 \times 158} = 2\sqrt{158}$
4
A calculator, or long division of digits, gives
$\sqrt{632} \approx 25.13961$

LaTeX source of the formulas on this page

\[ \sqrt{632} = 2\sqrt{158} \approx 25.13961 \]
\[ \sqrt{632} = \sqrt{4 \times 158} = 2\sqrt{158} \]
\[ \sqrt{632} \approx 25.13961 \]

What is the square root of 632?

The square root of 632 is 25.13961 (rounded to 6 decimal places). In simplest radical form it is 2√158.

Is 632 a perfect square?

No. It lies between 25² = 625 and 26² = 676.

What is 632 squared?

632 × 632 = 399424.

What is the square root of 632 rounded to 2 decimals?

25.14.