Square root of 8120

The square root of 8120 is 90.111043 (rounded to 6 decimal places). In simplest radical form it is 2√2030.

Square root of 8120

Pick any whole number from 1 to 10,000.

\sqrt{8120} = 2\sqrt{2030} \approx 90.111043

How to work it out

1
The square root of 8120 is the number that multiplied by itself gives 8120.
2
8120 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: 8120 = 4 × 2030, so
$\sqrt{8120} = \sqrt{4 \times 2030} = 2\sqrt{2030}$
4
A calculator, or long division of digits, gives
$\sqrt{8120} \approx 90.111043$

LaTeX source of the formulas on this page

\[ \sqrt{8120} = 2\sqrt{2030} \approx 90.111043 \]
\[ \sqrt{8120} = \sqrt{4 \times 2030} = 2\sqrt{2030} \]
\[ \sqrt{8120} \approx 90.111043 \]

What is the square root of 8120?

The square root of 8120 is 90.111043 (rounded to 6 decimal places). In simplest radical form it is 2√2030.

Is 8120 a perfect square?

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

What is 8120 squared?

8120 × 8120 = 65934400.

What is the square root of 8120 rounded to 2 decimals?

90.11.