Square root of 7140

The square root of 7140 is 84.498521 (rounded to 6 decimal places). In simplest radical form it is 2√1785.

Square root of 7140

Pick any whole number from 1 to 10,000.

\sqrt{7140} = 2\sqrt{1785} \approx 84.498521

How to work it out

1
The square root of 7140 is the number that multiplied by itself gives 7140.
2
7140 is between the perfect squares 84² = 7056 and 85² = 7225, so its square root is between 84 and 85.
3
Pull out the biggest square factor: 7140 = 4 × 1785, so
$\sqrt{7140} = \sqrt{4 \times 1785} = 2\sqrt{1785}$
4
A calculator, or long division of digits, gives
$\sqrt{7140} \approx 84.498521$

LaTeX source of the formulas on this page

\[ \sqrt{7140} = 2\sqrt{1785} \approx 84.498521 \]
\[ \sqrt{7140} = \sqrt{4 \times 1785} = 2\sqrt{1785} \]
\[ \sqrt{7140} \approx 84.498521 \]

What is the square root of 7140?

The square root of 7140 is 84.498521 (rounded to 6 decimal places). In simplest radical form it is 2√1785.

Is 7140 a perfect square?

No. It lies between 84² = 7056 and 85² = 7225.

What is 7140 squared?

7140 × 7140 = 50979600.

What is the square root of 7140 rounded to 2 decimals?

84.50.