Square root of 8427

The square root of 8427 is 91.798693 (rounded to 6 decimal places). In simplest radical form it is 53√3.

Square root of 8427

Pick any whole number from 1 to 10,000.

\sqrt{8427} = 53\sqrt{3} \approx 91.798693

How to work it out

1
The square root of 8427 is the number that multiplied by itself gives 8427.
2
8427 is between the perfect squares 91² = 8281 and 92² = 8464, so its square root is between 91 and 92.
3
Pull out the biggest square factor: 8427 = 2809 × 3, so
$\sqrt{8427} = \sqrt{2809 \times 3} = 53\sqrt{3}$
4
A calculator, or long division of digits, gives
$\sqrt{8427} \approx 91.798693$

LaTeX source of the formulas on this page

\[ \sqrt{8427} = 53\sqrt{3} \approx 91.798693 \]
\[ \sqrt{8427} = \sqrt{2809 \times 3} = 53\sqrt{3} \]
\[ \sqrt{8427} \approx 91.798693 \]

What is the square root of 8427?

The square root of 8427 is 91.798693 (rounded to 6 decimal places). In simplest radical form it is 53√3.

Is 8427 a perfect square?

No. It lies between 91² = 8281 and 92² = 8464.

What is 8427 squared?

8427 × 8427 = 71014329.

What is the square root of 8427 rounded to 2 decimals?

91.80.