Square root of 1056

The square root of 1056 is 32.496154 (rounded to 6 decimal places). In simplest radical form it is 4√66.

Square root of 1056

Pick any whole number from 1 to 10,000.

\sqrt{1056} = 4\sqrt{66} \approx 32.496154

How to work it out

1
The square root of 1056 is the number that multiplied by itself gives 1056.
2
1056 is between the perfect squares 32² = 1024 and 33² = 1089, so its square root is between 32 and 33.
3
Pull out the biggest square factor: 1056 = 16 × 66, so
$\sqrt{1056} = \sqrt{16 \times 66} = 4\sqrt{66}$
4
A calculator, or long division of digits, gives
$\sqrt{1056} \approx 32.496154$

LaTeX source of the formulas on this page

\[ \sqrt{1056} = 4\sqrt{66} \approx 32.496154 \]
\[ \sqrt{1056} = \sqrt{16 \times 66} = 4\sqrt{66} \]
\[ \sqrt{1056} \approx 32.496154 \]

What is the square root of 1056?

The square root of 1056 is 32.496154 (rounded to 6 decimal places). In simplest radical form it is 4√66.

Is 1056 a perfect square?

No. It lies between 32² = 1024 and 33² = 1089.

What is 1056 squared?

1056 × 1056 = 1115136.

What is the square root of 1056 rounded to 2 decimals?

32.50.