Square root of 3231

The square root of 3231 is 56.841886 (rounded to 6 decimal places). In simplest radical form it is 3√359.

Square root of 3231

Pick any whole number from 1 to 10,000.

\sqrt{3231} = 3\sqrt{359} \approx 56.841886

How to work it out

1
The square root of 3231 is the number that multiplied by itself gives 3231.
2
3231 is between the perfect squares 56² = 3136 and 57² = 3249, so its square root is between 56 and 57.
3
Pull out the biggest square factor: 3231 = 9 × 359, so
$\sqrt{3231} = \sqrt{9 \times 359} = 3\sqrt{359}$
4
A calculator, or long division of digits, gives
$\sqrt{3231} \approx 56.841886$

LaTeX source of the formulas on this page

\[ \sqrt{3231} = 3\sqrt{359} \approx 56.841886 \]
\[ \sqrt{3231} = \sqrt{9 \times 359} = 3\sqrt{359} \]
\[ \sqrt{3231} \approx 56.841886 \]

What is the square root of 3231?

The square root of 3231 is 56.841886 (rounded to 6 decimal places). In simplest radical form it is 3√359.

Is 3231 a perfect square?

No. It lies between 56² = 3136 and 57² = 3249.

What is 3231 squared?

3231 × 3231 = 10439361.

What is the square root of 3231 rounded to 2 decimals?

56.84.