Square root of 1940

The square root of 1940 is 44.045431 (rounded to 6 decimal places). In simplest radical form it is 2√485.

Square root of 1940

Pick any whole number from 1 to 10,000.

\sqrt{1940} = 2\sqrt{485} \approx 44.045431

How to work it out

1
The square root of 1940 is the number that multiplied by itself gives 1940.
2
1940 is between the perfect squares 44² = 1936 and 45² = 2025, so its square root is between 44 and 45.
3
Pull out the biggest square factor: 1940 = 4 × 485, so
$\sqrt{1940} = \sqrt{4 \times 485} = 2\sqrt{485}$
4
A calculator, or long division of digits, gives
$\sqrt{1940} \approx 44.045431$

LaTeX source of the formulas on this page

\[ \sqrt{1940} = 2\sqrt{485} \approx 44.045431 \]
\[ \sqrt{1940} = \sqrt{4 \times 485} = 2\sqrt{485} \]
\[ \sqrt{1940} \approx 44.045431 \]

What is the square root of 1940?

The square root of 1940 is 44.045431 (rounded to 6 decimal places). In simplest radical form it is 2√485.

Is 1940 a perfect square?

No. It lies between 44² = 1936 and 45² = 2025.

What is 1940 squared?

1940 × 1940 = 3763600.

What is the square root of 1940 rounded to 2 decimals?

44.05.