Square root of 4240

The square root of 4240 is 65.115282 (rounded to 6 decimal places). In simplest radical form it is 4√265.

Square root of 4240

Pick any whole number from 1 to 10,000.

\sqrt{4240} = 4\sqrt{265} \approx 65.115282

How to work it out

1
The square root of 4240 is the number that multiplied by itself gives 4240.
2
4240 is between the perfect squares 65² = 4225 and 66² = 4356, so its square root is between 65 and 66.
3
Pull out the biggest square factor: 4240 = 16 × 265, so
$\sqrt{4240} = \sqrt{16 \times 265} = 4\sqrt{265}$
4
A calculator, or long division of digits, gives
$\sqrt{4240} \approx 65.115282$

LaTeX source of the formulas on this page

\[ \sqrt{4240} = 4\sqrt{265} \approx 65.115282 \]
\[ \sqrt{4240} = \sqrt{16 \times 265} = 4\sqrt{265} \]
\[ \sqrt{4240} \approx 65.115282 \]

What is the square root of 4240?

The square root of 4240 is 65.115282 (rounded to 6 decimal places). In simplest radical form it is 4√265.

Is 4240 a perfect square?

No. It lies between 65² = 4225 and 66² = 4356.

What is 4240 squared?

4240 × 4240 = 17977600.

What is the square root of 4240 rounded to 2 decimals?

65.12.