Square root of 8040

The square root of 8040 is 89.666047 (rounded to 6 decimal places). In simplest radical form it is 2√2010.

Square root of 8040

Pick any whole number from 1 to 10,000.

\sqrt{8040} = 2\sqrt{2010} \approx 89.666047

How to work it out

1
The square root of 8040 is the number that multiplied by itself gives 8040.
2
8040 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: 8040 = 4 × 2010, so
$\sqrt{8040} = \sqrt{4 \times 2010} = 2\sqrt{2010}$
4
A calculator, or long division of digits, gives
$\sqrt{8040} \approx 89.666047$

LaTeX source of the formulas on this page

\[ \sqrt{8040} = 2\sqrt{2010} \approx 89.666047 \]
\[ \sqrt{8040} = \sqrt{4 \times 2010} = 2\sqrt{2010} \]
\[ \sqrt{8040} \approx 89.666047 \]

What is the square root of 8040?

The square root of 8040 is 89.666047 (rounded to 6 decimal places). In simplest radical form it is 2√2010.

Is 8040 a perfect square?

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

What is 8040 squared?

8040 × 8040 = 64641600.

What is the square root of 8040 rounded to 2 decimals?

89.67.