Square root of 1152

The square root of 1152 is 33.941125 (rounded to 6 decimal places). In simplest radical form it is 24√2.

Square root of 1152

Pick any whole number from 1 to 10,000.

\sqrt{1152} = 24\sqrt{2} \approx 33.941125

How to work it out

1
The square root of 1152 is the number that multiplied by itself gives 1152.
2
1152 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: 1152 = 576 × 2, so
$\sqrt{1152} = \sqrt{576 \times 2} = 24\sqrt{2}$
4
A calculator, or long division of digits, gives
$\sqrt{1152} \approx 33.941125$

LaTeX source of the formulas on this page

\[ \sqrt{1152} = 24\sqrt{2} \approx 33.941125 \]
\[ \sqrt{1152} = \sqrt{576 \times 2} = 24\sqrt{2} \]
\[ \sqrt{1152} \approx 33.941125 \]

What is the square root of 1152?

The square root of 1152 is 33.941125 (rounded to 6 decimal places). In simplest radical form it is 24√2.

Is 1152 a perfect square?

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

What is 1152 squared?

1152 × 1152 = 1327104.

What is the square root of 1152 rounded to 2 decimals?

33.94.