Square root of 8240

The square root of 8240 is 90.774446 (rounded to 6 decimal places). In simplest radical form it is 4√515.

Square root of 8240

Pick any whole number from 1 to 10,000.

\sqrt{8240} = 4\sqrt{515} \approx 90.774446

How to work it out

1
The square root of 8240 is the number that multiplied by itself gives 8240.
2
8240 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: 8240 = 16 × 515, so
$\sqrt{8240} = \sqrt{16 \times 515} = 4\sqrt{515}$
4
A calculator, or long division of digits, gives
$\sqrt{8240} \approx 90.774446$

LaTeX source of the formulas on this page

\[ \sqrt{8240} = 4\sqrt{515} \approx 90.774446 \]
\[ \sqrt{8240} = \sqrt{16 \times 515} = 4\sqrt{515} \]
\[ \sqrt{8240} \approx 90.774446 \]

What is the square root of 8240?

The square root of 8240 is 90.774446 (rounded to 6 decimal places). In simplest radical form it is 4√515.

Is 8240 a perfect square?

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

What is 8240 squared?

8240 × 8240 = 67897600.

What is the square root of 8240 rounded to 2 decimals?

90.77.