Square root of 1072

The square root of 1072 is 32.741411 (rounded to 6 decimal places). In simplest radical form it is 4√67.

Square root of 1072

Pick any whole number from 1 to 10,000.

\sqrt{1072} = 4\sqrt{67} \approx 32.741411

How to work it out

1
The square root of 1072 is the number that multiplied by itself gives 1072.
2
1072 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: 1072 = 16 × 67, so
$\sqrt{1072} = \sqrt{16 \times 67} = 4\sqrt{67}$
4
A calculator, or long division of digits, gives
$\sqrt{1072} \approx 32.741411$

LaTeX source of the formulas on this page

\[ \sqrt{1072} = 4\sqrt{67} \approx 32.741411 \]
\[ \sqrt{1072} = \sqrt{16 \times 67} = 4\sqrt{67} \]
\[ \sqrt{1072} \approx 32.741411 \]

What is the square root of 1072?

The square root of 1072 is 32.741411 (rounded to 6 decimal places). In simplest radical form it is 4√67.

Is 1072 a perfect square?

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

What is 1072 squared?

1072 × 1072 = 1149184.

What is the square root of 1072 rounded to 2 decimals?

32.74.