Square root of 1136

The square root of 1136 is 33.704599 (rounded to 6 decimal places). In simplest radical form it is 4√71.

Square root of 1136

Pick any whole number from 1 to 10,000.

\sqrt{1136} = 4\sqrt{71} \approx 33.704599

How to work it out

1
The square root of 1136 is the number that multiplied by itself gives 1136.
2
1136 is between the perfect squares 33² = 1089 and 34² = 1156, so its square root is between 33 and 34.
3
Pull out the biggest square factor: 1136 = 16 × 71, so
$\sqrt{1136} = \sqrt{16 \times 71} = 4\sqrt{71}$
4
A calculator, or long division of digits, gives
$\sqrt{1136} \approx 33.704599$

LaTeX source of the formulas on this page

\[ \sqrt{1136} = 4\sqrt{71} \approx 33.704599 \]
\[ \sqrt{1136} = \sqrt{16 \times 71} = 4\sqrt{71} \]
\[ \sqrt{1136} \approx 33.704599 \]

What is the square root of 1136?

The square root of 1136 is 33.704599 (rounded to 6 decimal places). In simplest radical form it is 4√71.

Is 1136 a perfect square?

No. It lies between 33² = 1089 and 34² = 1156.

What is 1136 squared?

1136 × 1136 = 1290496.

What is the square root of 1136 rounded to 2 decimals?

33.70.