Square root of 8289

The square root of 8289 is 91.043945 (rounded to 6 decimal places). In simplest radical form it is 3√921.

Square root of 8289

Pick any whole number from 1 to 10,000.

\sqrt{8289} = 3\sqrt{921} \approx 91.043945

How to work it out

1
The square root of 8289 is the number that multiplied by itself gives 8289.
2
8289 is between the perfect squares 91² = 8281 and 92² = 8464, so its square root is between 91 and 92.
3
Pull out the biggest square factor: 8289 = 9 × 921, so
$\sqrt{8289} = \sqrt{9 \times 921} = 3\sqrt{921}$
4
A calculator, or long division of digits, gives
$\sqrt{8289} \approx 91.043945$

LaTeX source of the formulas on this page

\[ \sqrt{8289} = 3\sqrt{921} \approx 91.043945 \]
\[ \sqrt{8289} = \sqrt{9 \times 921} = 3\sqrt{921} \]
\[ \sqrt{8289} \approx 91.043945 \]

What is the square root of 8289?

The square root of 8289 is 91.043945 (rounded to 6 decimal places). In simplest radical form it is 3√921.

Is 8289 a perfect square?

No. It lies between 91² = 8281 and 92² = 8464.

What is 8289 squared?

8289 × 8289 = 68707521.

What is the square root of 8289 rounded to 2 decimals?

91.04.