Square root of 8264

The square root of 8264 is 90.906545 (rounded to 6 decimal places). In simplest radical form it is 2√2066.

Square root of 8264

Pick any whole number from 1 to 10,000.

\sqrt{8264} = 2\sqrt{2066} \approx 90.906545

How to work it out

1
The square root of 8264 is the number that multiplied by itself gives 8264.
2
8264 is between the perfect squares 90² = 8100 and 91² = 8281, so its square root is between 90 and 91.
3
Pull out the biggest square factor: 8264 = 4 × 2066, so
$\sqrt{8264} = \sqrt{4 \times 2066} = 2\sqrt{2066}$
4
A calculator, or long division of digits, gives
$\sqrt{8264} \approx 90.906545$

LaTeX source of the formulas on this page

\[ \sqrt{8264} = 2\sqrt{2066} \approx 90.906545 \]
\[ \sqrt{8264} = \sqrt{4 \times 2066} = 2\sqrt{2066} \]
\[ \sqrt{8264} \approx 90.906545 \]

What is the square root of 8264?

The square root of 8264 is 90.906545 (rounded to 6 decimal places). In simplest radical form it is 2√2066.

Is 8264 a perfect square?

No. It lies between 90² = 8100 and 91² = 8281.

What is 8264 squared?

8264 × 8264 = 68293696.

What is the square root of 8264 rounded to 2 decimals?

90.91.