Square root of 630

The square root of 630 is 25.099801 (rounded to 6 decimal places). In simplest radical form it is 3√70.

Square root of 630

Pick any whole number from 1 to 10,000.

\sqrt{630} = 3\sqrt{70} \approx 25.099801

How to work it out

1
The square root of 630 is the number that multiplied by itself gives 630.
2
630 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: 630 = 9 × 70, so
$\sqrt{630} = \sqrt{9 \times 70} = 3\sqrt{70}$
4
A calculator, or long division of digits, gives
$\sqrt{630} \approx 25.099801$

LaTeX source of the formulas on this page

\[ \sqrt{630} = 3\sqrt{70} \approx 25.099801 \]
\[ \sqrt{630} = \sqrt{9 \times 70} = 3\sqrt{70} \]
\[ \sqrt{630} \approx 25.099801 \]

What is the square root of 630?

The square root of 630 is 25.099801 (rounded to 6 decimal places). In simplest radical form it is 3√70.

Is 630 a perfect square?

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

What is 630 squared?

630 × 630 = 396900.

What is the square root of 630 rounded to 2 decimals?

25.10.