Square root of 1644

The square root of 1644 is 40.54627 (rounded to 6 decimal places). In simplest radical form it is 2√411.

Square root of 1644

Pick any whole number from 1 to 10,000.

\sqrt{1644} = 2\sqrt{411} \approx 40.54627

How to work it out

1
The square root of 1644 is the number that multiplied by itself gives 1644.
2
1644 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: 1644 = 4 × 411, so
$\sqrt{1644} = \sqrt{4 \times 411} = 2\sqrt{411}$
4
A calculator, or long division of digits, gives
$\sqrt{1644} \approx 40.54627$

LaTeX source of the formulas on this page

\[ \sqrt{1644} = 2\sqrt{411} \approx 40.54627 \]
\[ \sqrt{1644} = \sqrt{4 \times 411} = 2\sqrt{411} \]
\[ \sqrt{1644} \approx 40.54627 \]

What is the square root of 1644?

The square root of 1644 is 40.54627 (rounded to 6 decimal places). In simplest radical form it is 2√411.

Is 1644 a perfect square?

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

What is 1644 squared?

1644 × 1644 = 2702736.

What is the square root of 1644 rounded to 2 decimals?

40.55.