Square root of 1264

The square root of 1264 is 35.552778 (rounded to 6 decimal places). In simplest radical form it is 4√79.

Square root of 1264

Pick any whole number from 1 to 10,000.

\sqrt{1264} = 4\sqrt{79} \approx 35.552778

How to work it out

1
The square root of 1264 is the number that multiplied by itself gives 1264.
2
1264 is between the perfect squares 35² = 1225 and 36² = 1296, so its square root is between 35 and 36.
3
Pull out the biggest square factor: 1264 = 16 × 79, so
$\sqrt{1264} = \sqrt{16 \times 79} = 4\sqrt{79}$
4
A calculator, or long division of digits, gives
$\sqrt{1264} \approx 35.552778$

LaTeX source of the formulas on this page

\[ \sqrt{1264} = 4\sqrt{79} \approx 35.552778 \]
\[ \sqrt{1264} = \sqrt{16 \times 79} = 4\sqrt{79} \]
\[ \sqrt{1264} \approx 35.552778 \]

What is the square root of 1264?

The square root of 1264 is 35.552778 (rounded to 6 decimal places). In simplest radical form it is 4√79.

Is 1264 a perfect square?

No. It lies between 35² = 1225 and 36² = 1296.

What is 1264 squared?

1264 × 1264 = 1597696.

What is the square root of 1264 rounded to 2 decimals?

35.55.