Square root of 8082

The square root of 8082 is 89.899944 (rounded to 6 decimal places). In simplest radical form it is 3√898.

Square root of 8082

Pick any whole number from 1 to 10,000.

\sqrt{8082} = 3\sqrt{898} \approx 89.899944

How to work it out

1
The square root of 8082 is the number that multiplied by itself gives 8082.
2
8082 is between the perfect squares 89² = 7921 and 90² = 8100, so its square root is between 89 and 90.
3
Pull out the biggest square factor: 8082 = 9 × 898, so
$\sqrt{8082} = \sqrt{9 \times 898} = 3\sqrt{898}$
4
A calculator, or long division of digits, gives
$\sqrt{8082} \approx 89.899944$

LaTeX source of the formulas on this page

\[ \sqrt{8082} = 3\sqrt{898} \approx 89.899944 \]
\[ \sqrt{8082} = \sqrt{9 \times 898} = 3\sqrt{898} \]
\[ \sqrt{8082} \approx 89.899944 \]

What is the square root of 8082?

The square root of 8082 is 89.899944 (rounded to 6 decimal places). In simplest radical form it is 3√898.

Is 8082 a perfect square?

No. It lies between 89² = 7921 and 90² = 8100.

What is 8082 squared?

8082 × 8082 = 65318724.

What is the square root of 8082 rounded to 2 decimals?

89.90.