Square root of 1640

The square root of 1640 is 40.496913 (rounded to 6 decimal places). In simplest radical form it is 2√410.

Square root of 1640

Pick any whole number from 1 to 10,000.

\sqrt{1640} = 2\sqrt{410} \approx 40.496913

How to work it out

1
The square root of 1640 is the number that multiplied by itself gives 1640.
2
1640 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: 1640 = 4 × 410, so
$\sqrt{1640} = \sqrt{4 \times 410} = 2\sqrt{410}$
4
A calculator, or long division of digits, gives
$\sqrt{1640} \approx 40.496913$

LaTeX source of the formulas on this page

\[ \sqrt{1640} = 2\sqrt{410} \approx 40.496913 \]
\[ \sqrt{1640} = \sqrt{4 \times 410} = 2\sqrt{410} \]
\[ \sqrt{1640} \approx 40.496913 \]

What is the square root of 1640?

The square root of 1640 is 40.496913 (rounded to 6 decimal places). In simplest radical form it is 2√410.

Is 1640 a perfect square?

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

What is 1640 squared?

1640 × 1640 = 2689600.

What is the square root of 1640 rounded to 2 decimals?

40.50.