Square root of 1629

The square root of 1629 is 40.360872 (rounded to 6 decimal places). In simplest radical form it is 3√181.

Square root of 1629

Pick any whole number from 1 to 10,000.

\sqrt{1629} = 3\sqrt{181} \approx 40.360872

How to work it out

1
The square root of 1629 is the number that multiplied by itself gives 1629.
2
1629 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: 1629 = 9 × 181, so
$\sqrt{1629} = \sqrt{9 \times 181} = 3\sqrt{181}$
4
A calculator, or long division of digits, gives
$\sqrt{1629} \approx 40.360872$

LaTeX source of the formulas on this page

\[ \sqrt{1629} = 3\sqrt{181} \approx 40.360872 \]
\[ \sqrt{1629} = \sqrt{9 \times 181} = 3\sqrt{181} \]
\[ \sqrt{1629} \approx 40.360872 \]

What is the square root of 1629?

The square root of 1629 is 40.360872 (rounded to 6 decimal places). In simplest radical form it is 3√181.

Is 1629 a perfect square?

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

What is 1629 squared?

1629 × 1629 = 2653641.

What is the square root of 1629 rounded to 2 decimals?

40.36.