Square root of 2240

The square root of 2240 is 47.328638 (rounded to 6 decimal places). In simplest radical form it is 8√35.

Square root of 2240

Pick any whole number from 1 to 10,000.

\sqrt{2240} = 8\sqrt{35} \approx 47.328638

How to work it out

1
The square root of 2240 is the number that multiplied by itself gives 2240.
2
2240 is between the perfect squares 47² = 2209 and 48² = 2304, so its square root is between 47 and 48.
3
Pull out the biggest square factor: 2240 = 64 × 35, so
$\sqrt{2240} = \sqrt{64 \times 35} = 8\sqrt{35}$
4
A calculator, or long division of digits, gives
$\sqrt{2240} \approx 47.328638$

LaTeX source of the formulas on this page

\[ \sqrt{2240} = 8\sqrt{35} \approx 47.328638 \]
\[ \sqrt{2240} = \sqrt{64 \times 35} = 8\sqrt{35} \]
\[ \sqrt{2240} \approx 47.328638 \]

What is the square root of 2240?

The square root of 2240 is 47.328638 (rounded to 6 decimal places). In simplest radical form it is 8√35.

Is 2240 a perfect square?

No. It lies between 47² = 2209 and 48² = 2304.

What is 2240 squared?

2240 × 2240 = 5017600.

What is the square root of 2240 rounded to 2 decimals?

47.33.