Square root of 8825

The square root of 8825 is 93.941471 (rounded to 6 decimal places). In simplest radical form it is 5√353.

Square root of 8825

Pick any whole number from 1 to 10,000.

\sqrt{8825} = 5\sqrt{353} \approx 93.941471

How to work it out

1
The square root of 8825 is the number that multiplied by itself gives 8825.
2
8825 is between the perfect squares 93² = 8649 and 94² = 8836, so its square root is between 93 and 94.
3
Pull out the biggest square factor: 8825 = 25 × 353, so
$\sqrt{8825} = \sqrt{25 \times 353} = 5\sqrt{353}$
4
A calculator, or long division of digits, gives
$\sqrt{8825} \approx 93.941471$

LaTeX source of the formulas on this page

\[ \sqrt{8825} = 5\sqrt{353} \approx 93.941471 \]
\[ \sqrt{8825} = \sqrt{25 \times 353} = 5\sqrt{353} \]
\[ \sqrt{8825} \approx 93.941471 \]

What is the square root of 8825?

The square root of 8825 is 93.941471 (rounded to 6 decimal places). In simplest radical form it is 5√353.

Is 8825 a perfect square?

No. It lies between 93² = 8649 and 94² = 8836.

What is 8825 squared?

8825 × 8825 = 77880625.

What is the square root of 8825 rounded to 2 decimals?

93.94.