Square root of 7204

The square root of 7204 is 84.876381 (rounded to 6 decimal places). In simplest radical form it is 2√1801.

Square root of 7204

Pick any whole number from 1 to 10,000.

\sqrt{7204} = 2\sqrt{1801} \approx 84.876381

How to work it out

1
The square root of 7204 is the number that multiplied by itself gives 7204.
2
7204 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: 7204 = 4 × 1801, so
$\sqrt{7204} = \sqrt{4 \times 1801} = 2\sqrt{1801}$
4
A calculator, or long division of digits, gives
$\sqrt{7204} \approx 84.876381$

LaTeX source of the formulas on this page

\[ \sqrt{7204} = 2\sqrt{1801} \approx 84.876381 \]
\[ \sqrt{7204} = \sqrt{4 \times 1801} = 2\sqrt{1801} \]
\[ \sqrt{7204} \approx 84.876381 \]

What is the square root of 7204?

The square root of 7204 is 84.876381 (rounded to 6 decimal places). In simplest radical form it is 2√1801.

Is 7204 a perfect square?

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

What is 7204 squared?

7204 × 7204 = 51897616.

What is the square root of 7204 rounded to 2 decimals?

84.88.