Square root of 1256

The square root of 1256 is 35.44009 (rounded to 6 decimal places). In simplest radical form it is 2√314.

Square root of 1256

Pick any whole number from 1 to 10,000.

\sqrt{1256} = 2\sqrt{314} \approx 35.44009

How to work it out

1
The square root of 1256 is the number that multiplied by itself gives 1256.
2
1256 is between the perfect squares 35² = 1225 and 36² = 1296, so its square root is between 35 and 36.
3
Pull out the biggest square factor: 1256 = 4 × 314, so
$\sqrt{1256} = \sqrt{4 \times 314} = 2\sqrt{314}$
4
A calculator, or long division of digits, gives
$\sqrt{1256} \approx 35.44009$

LaTeX source of the formulas on this page

\[ \sqrt{1256} = 2\sqrt{314} \approx 35.44009 \]
\[ \sqrt{1256} = \sqrt{4 \times 314} = 2\sqrt{314} \]
\[ \sqrt{1256} \approx 35.44009 \]

What is the square root of 1256?

The square root of 1256 is 35.44009 (rounded to 6 decimal places). In simplest radical form it is 2√314.

Is 1256 a perfect square?

No. It lies between 35² = 1225 and 36² = 1296.

What is 1256 squared?

1256 × 1256 = 1577536.

What is the square root of 1256 rounded to 2 decimals?

35.44.