Square root of 5264

The square root of 5264 is 72.553429 (rounded to 6 decimal places). In simplest radical form it is 4√329.

Square root of 5264

Pick any whole number from 1 to 10,000.

\sqrt{5264} = 4\sqrt{329} \approx 72.553429

How to work it out

1
The square root of 5264 is the number that multiplied by itself gives 5264.
2
5264 is between the perfect squares 72² = 5184 and 73² = 5329, so its square root is between 72 and 73.
3
Pull out the biggest square factor: 5264 = 16 × 329, so
$\sqrt{5264} = \sqrt{16 \times 329} = 4\sqrt{329}$
4
A calculator, or long division of digits, gives
$\sqrt{5264} \approx 72.553429$

LaTeX source of the formulas on this page

\[ \sqrt{5264} = 4\sqrt{329} \approx 72.553429 \]
\[ \sqrt{5264} = \sqrt{16 \times 329} = 4\sqrt{329} \]
\[ \sqrt{5264} \approx 72.553429 \]

What is the square root of 5264?

The square root of 5264 is 72.553429 (rounded to 6 decimal places). In simplest radical form it is 4√329.

Is 5264 a perfect square?

No. It lies between 72² = 5184 and 73² = 5329.

What is 5264 squared?

5264 × 5264 = 27709696.

What is the square root of 5264 rounded to 2 decimals?

72.55.