Square root of 3141

The square root of 3141 is 56.044625 (rounded to 6 decimal places). In simplest radical form it is 3√349.

Square root of 3141

Pick any whole number from 1 to 10,000.

\sqrt{3141} = 3\sqrt{349} \approx 56.044625

How to work it out

1
The square root of 3141 is the number that multiplied by itself gives 3141.
2
3141 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: 3141 = 9 × 349, so
$\sqrt{3141} = \sqrt{9 \times 349} = 3\sqrt{349}$
4
A calculator, or long division of digits, gives
$\sqrt{3141} \approx 56.044625$

LaTeX source of the formulas on this page

\[ \sqrt{3141} = 3\sqrt{349} \approx 56.044625 \]
\[ \sqrt{3141} = \sqrt{9 \times 349} = 3\sqrt{349} \]
\[ \sqrt{3141} \approx 56.044625 \]

What is the square root of 3141?

The square root of 3141 is 56.044625 (rounded to 6 decimal places). In simplest radical form it is 3√349.

Is 3141 a perfect square?

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

What is 3141 squared?

3141 × 3141 = 9865881.

What is the square root of 3141 rounded to 2 decimals?

56.04.