Square root of 1040

The square root of 1040 is 32.249031 (rounded to 6 decimal places). In simplest radical form it is 4√65.

Square root of 1040

Pick any whole number from 1 to 10,000.

\sqrt{1040} = 4\sqrt{65} \approx 32.249031

How to work it out

1
The square root of 1040 is the number that multiplied by itself gives 1040.
2
1040 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: 1040 = 16 × 65, so
$\sqrt{1040} = \sqrt{16 \times 65} = 4\sqrt{65}$
4
A calculator, or long division of digits, gives
$\sqrt{1040} \approx 32.249031$

LaTeX source of the formulas on this page

\[ \sqrt{1040} = 4\sqrt{65} \approx 32.249031 \]
\[ \sqrt{1040} = \sqrt{16 \times 65} = 4\sqrt{65} \]
\[ \sqrt{1040} \approx 32.249031 \]

What is the square root of 1040?

The square root of 1040 is 32.249031 (rounded to 6 decimal places). In simplest radical form it is 4√65.

Is 1040 a perfect square?

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

What is 1040 squared?

1040 × 1040 = 1081600.

What is the square root of 1040 rounded to 2 decimals?

32.25.