Square root of 7325

The square root of 7325 is 85.586214 (rounded to 6 decimal places). In simplest radical form it is 5√293.

Square root of 7325

Pick any whole number from 1 to 10,000.

\sqrt{7325} = 5\sqrt{293} \approx 85.586214

How to work it out

1
The square root of 7325 is the number that multiplied by itself gives 7325.
2
7325 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: 7325 = 25 × 293, so
$\sqrt{7325} = \sqrt{25 \times 293} = 5\sqrt{293}$
4
A calculator, or long division of digits, gives
$\sqrt{7325} \approx 85.586214$

LaTeX source of the formulas on this page

\[ \sqrt{7325} = 5\sqrt{293} \approx 85.586214 \]
\[ \sqrt{7325} = \sqrt{25 \times 293} = 5\sqrt{293} \]
\[ \sqrt{7325} \approx 85.586214 \]

What is the square root of 7325?

The square root of 7325 is 85.586214 (rounded to 6 decimal places). In simplest radical form it is 5√293.

Is 7325 a perfect square?

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

What is 7325 squared?

7325 × 7325 = 53655625.

What is the square root of 7325 rounded to 2 decimals?

85.59.