Square root of 1638

The square root of 1638 is 40.472213 (rounded to 6 decimal places). In simplest radical form it is 3√182.

Square root of 1638

Pick any whole number from 1 to 10,000.

\sqrt{1638} = 3\sqrt{182} \approx 40.472213

How to work it out

1
The square root of 1638 is the number that multiplied by itself gives 1638.
2
1638 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: 1638 = 9 × 182, so
$\sqrt{1638} = \sqrt{9 \times 182} = 3\sqrt{182}$
4
A calculator, or long division of digits, gives
$\sqrt{1638} \approx 40.472213$

LaTeX source of the formulas on this page

\[ \sqrt{1638} = 3\sqrt{182} \approx 40.472213 \]
\[ \sqrt{1638} = \sqrt{9 \times 182} = 3\sqrt{182} \]
\[ \sqrt{1638} \approx 40.472213 \]

What is the square root of 1638?

The square root of 1638 is 40.472213 (rounded to 6 decimal places). In simplest radical form it is 3√182.

Is 1638 a perfect square?

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

What is 1638 squared?

1638 × 1638 = 2683044.

What is the square root of 1638 rounded to 2 decimals?

40.47.