Square root of 7256

The square root of 7256 is 85.182158 (rounded to 6 decimal places). In simplest radical form it is 2√1814.

Square root of 7256

Pick any whole number from 1 to 10,000.

\sqrt{7256} = 2\sqrt{1814} \approx 85.182158

How to work it out

1
The square root of 7256 is the number that multiplied by itself gives 7256.
2
7256 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: 7256 = 4 × 1814, so
$\sqrt{7256} = \sqrt{4 \times 1814} = 2\sqrt{1814}$
4
A calculator, or long division of digits, gives
$\sqrt{7256} \approx 85.182158$

LaTeX source of the formulas on this page

\[ \sqrt{7256} = 2\sqrt{1814} \approx 85.182158 \]
\[ \sqrt{7256} = \sqrt{4 \times 1814} = 2\sqrt{1814} \]
\[ \sqrt{7256} \approx 85.182158 \]

What is the square root of 7256?

The square root of 7256 is 85.182158 (rounded to 6 decimal places). In simplest radical form it is 2√1814.

Is 7256 a perfect square?

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

What is 7256 squared?

7256 × 7256 = 52649536.

What is the square root of 7256 rounded to 2 decimals?

85.18.