Square root of 7381

The square root of 7381 is 85.912746 (rounded to 6 decimal places). In simplest radical form it is 11√61.

Square root of 7381

Pick any whole number from 1 to 10,000.

\sqrt{7381} = 11\sqrt{61} \approx 85.912746

How to work it out

1
The square root of 7381 is the number that multiplied by itself gives 7381.
2
7381 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: 7381 = 121 × 61, so
$\sqrt{7381} = \sqrt{121 \times 61} = 11\sqrt{61}$
4
A calculator, or long division of digits, gives
$\sqrt{7381} \approx 85.912746$

LaTeX source of the formulas on this page

\[ \sqrt{7381} = 11\sqrt{61} \approx 85.912746 \]
\[ \sqrt{7381} = \sqrt{121 \times 61} = 11\sqrt{61} \]
\[ \sqrt{7381} \approx 85.912746 \]

What is the square root of 7381?

The square root of 7381 is 85.912746 (rounded to 6 decimal places). In simplest radical form it is 11√61.

Is 7381 a perfect square?

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

What is 7381 squared?

7381 × 7381 = 54479161.

What is the square root of 7381 rounded to 2 decimals?

85.91.