Square root of 8253

The square root of 8253 is 90.846024 (rounded to 6 decimal places). In simplest radical form it is 3√917.

Square root of 8253

Pick any whole number from 1 to 10,000.

\sqrt{8253} = 3\sqrt{917} \approx 90.846024

How to work it out

1
The square root of 8253 is the number that multiplied by itself gives 8253.
2
8253 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: 8253 = 9 × 917, so
$\sqrt{8253} = \sqrt{9 \times 917} = 3\sqrt{917}$
4
A calculator, or long division of digits, gives
$\sqrt{8253} \approx 90.846024$

LaTeX source of the formulas on this page

\[ \sqrt{8253} = 3\sqrt{917} \approx 90.846024 \]
\[ \sqrt{8253} = \sqrt{9 \times 917} = 3\sqrt{917} \]
\[ \sqrt{8253} \approx 90.846024 \]

What is the square root of 8253?

The square root of 8253 is 90.846024 (rounded to 6 decimal places). In simplest radical form it is 3√917.

Is 8253 a perfect square?

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

What is 8253 squared?

8253 × 8253 = 68112009.

What is the square root of 8253 rounded to 2 decimals?

90.85.