Square root of 3069

The square root of 3069 is 55.398556 (rounded to 6 decimal places). In simplest radical form it is 3√341.

Square root of 3069

Pick any whole number from 1 to 10,000.

\sqrt{3069} = 3\sqrt{341} \approx 55.398556

How to work it out

1
The square root of 3069 is the number that multiplied by itself gives 3069.
2
3069 is between the perfect squares 55² = 3025 and 56² = 3136, so its square root is between 55 and 56.
3
Pull out the biggest square factor: 3069 = 9 × 341, so
$\sqrt{3069} = \sqrt{9 \times 341} = 3\sqrt{341}$
4
A calculator, or long division of digits, gives
$\sqrt{3069} \approx 55.398556$

LaTeX source of the formulas on this page

\[ \sqrt{3069} = 3\sqrt{341} \approx 55.398556 \]
\[ \sqrt{3069} = \sqrt{9 \times 341} = 3\sqrt{341} \]
\[ \sqrt{3069} \approx 55.398556 \]

What is the square root of 3069?

The square root of 3069 is 55.398556 (rounded to 6 decimal places). In simplest radical form it is 3√341.

Is 3069 a perfect square?

No. It lies between 55² = 3025 and 56² = 3136.

What is 3069 squared?

3069 × 3069 = 9418761.

What is the square root of 3069 rounded to 2 decimals?

55.40.