Square root of 1104

The square root of 1104 is 33.226495 (rounded to 6 decimal places). In simplest radical form it is 4√69.

Square root of 1104

Pick any whole number from 1 to 10,000.

\sqrt{1104} = 4\sqrt{69} \approx 33.226495

How to work it out

1
The square root of 1104 is the number that multiplied by itself gives 1104.
2
1104 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: 1104 = 16 × 69, so
$\sqrt{1104} = \sqrt{16 \times 69} = 4\sqrt{69}$
4
A calculator, or long division of digits, gives
$\sqrt{1104} \approx 33.226495$

LaTeX source of the formulas on this page

\[ \sqrt{1104} = 4\sqrt{69} \approx 33.226495 \]
\[ \sqrt{1104} = \sqrt{16 \times 69} = 4\sqrt{69} \]
\[ \sqrt{1104} \approx 33.226495 \]

What is the square root of 1104?

The square root of 1104 is 33.226495 (rounded to 6 decimal places). In simplest radical form it is 4√69.

Is 1104 a perfect square?

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

What is 1104 squared?

1104 × 1104 = 1218816.

What is the square root of 1104 rounded to 2 decimals?

33.23.