Square root of 8060

The square root of 8060 is 89.777503 (rounded to 6 decimal places). In simplest radical form it is 2√2015.

Square root of 8060

Pick any whole number from 1 to 10,000.

\sqrt{8060} = 2\sqrt{2015} \approx 89.777503

How to work it out

1
The square root of 8060 is the number that multiplied by itself gives 8060.
2
8060 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: 8060 = 4 × 2015, so
$\sqrt{8060} = \sqrt{4 \times 2015} = 2\sqrt{2015}$
4
A calculator, or long division of digits, gives
$\sqrt{8060} \approx 89.777503$

LaTeX source of the formulas on this page

\[ \sqrt{8060} = 2\sqrt{2015} \approx 89.777503 \]
\[ \sqrt{8060} = \sqrt{4 \times 2015} = 2\sqrt{2015} \]
\[ \sqrt{8060} \approx 89.777503 \]

What is the square root of 8060?

The square root of 8060 is 89.777503 (rounded to 6 decimal places). In simplest radical form it is 2√2015.

Is 8060 a perfect square?

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

What is 8060 squared?

8060 × 8060 = 64963600.

What is the square root of 8060 rounded to 2 decimals?

89.78.