Square root of 7220

The square root of 7220 is 84.970583 (rounded to 6 decimal places). In simplest radical form it is 38√5.

Square root of 7220

Pick any whole number from 1 to 10,000.

\sqrt{7220} = 38\sqrt{5} \approx 84.970583

How to work it out

1
The square root of 7220 is the number that multiplied by itself gives 7220.
2
7220 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: 7220 = 1444 × 5, so
$\sqrt{7220} = \sqrt{1444 \times 5} = 38\sqrt{5}$
4
A calculator, or long division of digits, gives
$\sqrt{7220} \approx 84.970583$

LaTeX source of the formulas on this page

\[ \sqrt{7220} = 38\sqrt{5} \approx 84.970583 \]
\[ \sqrt{7220} = \sqrt{1444 \times 5} = 38\sqrt{5} \]
\[ \sqrt{7220} \approx 84.970583 \]

What is the square root of 7220?

The square root of 7220 is 84.970583 (rounded to 6 decimal places). In simplest radical form it is 38√5.

Is 7220 a perfect square?

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

What is 7220 squared?

7220 × 7220 = 52128400.

What is the square root of 7220 rounded to 2 decimals?

84.97.