Square root of 7240

The square root of 7240 is 85.08819 (rounded to 6 decimal places). In simplest radical form it is 2√1810.

Square root of 7240

Pick any whole number from 1 to 10,000.

\sqrt{7240} = 2\sqrt{1810} \approx 85.08819

How to work it out

1
The square root of 7240 is the number that multiplied by itself gives 7240.
2
7240 is between the perfect squares 85² = 7225 and 86² = 7396, so its square root is between 85 and 86.
3
Pull out the biggest square factor: 7240 = 4 × 1810, so
$\sqrt{7240} = \sqrt{4 \times 1810} = 2\sqrt{1810}$
4
A calculator, or long division of digits, gives
$\sqrt{7240} \approx 85.08819$

LaTeX source of the formulas on this page

\[ \sqrt{7240} = 2\sqrt{1810} \approx 85.08819 \]
\[ \sqrt{7240} = \sqrt{4 \times 1810} = 2\sqrt{1810} \]
\[ \sqrt{7240} \approx 85.08819 \]

What is the square root of 7240?

The square root of 7240 is 85.08819 (rounded to 6 decimal places). In simplest radical form it is 2√1810.

Is 7240 a perfect square?

No. It lies between 85² = 7225 and 86² = 7396.

What is 7240 squared?

7240 × 7240 = 52417600.

What is the square root of 7240 rounded to 2 decimals?

85.09.