Square root of 1143

The square root of 1143 is 33.808283 (rounded to 6 decimal places). In simplest radical form it is 3√127.

Square root of 1143

Pick any whole number from 1 to 10,000.

\sqrt{1143} = 3\sqrt{127} \approx 33.808283

How to work it out

1
The square root of 1143 is the number that multiplied by itself gives 1143.
2
1143 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: 1143 = 9 × 127, so
$\sqrt{1143} = \sqrt{9 \times 127} = 3\sqrt{127}$
4
A calculator, or long division of digits, gives
$\sqrt{1143} \approx 33.808283$

LaTeX source of the formulas on this page

\[ \sqrt{1143} = 3\sqrt{127} \approx 33.808283 \]
\[ \sqrt{1143} = \sqrt{9 \times 127} = 3\sqrt{127} \]
\[ \sqrt{1143} \approx 33.808283 \]

What is the square root of 1143?

The square root of 1143 is 33.808283 (rounded to 6 decimal places). In simplest radical form it is 3√127.

Is 1143 a perfect square?

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

What is 1143 squared?

1143 × 1143 = 1306449.

What is the square root of 1143 rounded to 2 decimals?

33.81.