Square root of 2961

The square root of 2961 is 54.415071 (rounded to 6 decimal places). In simplest radical form it is 3√329.

Square root of 2961

Pick any whole number from 1 to 10,000.

\sqrt{2961} = 3\sqrt{329} \approx 54.415071

How to work it out

1
The square root of 2961 is the number that multiplied by itself gives 2961.
2
2961 is between the perfect squares 54² = 2916 and 55² = 3025, so its square root is between 54 and 55.
3
Pull out the biggest square factor: 2961 = 9 × 329, so
$\sqrt{2961} = \sqrt{9 \times 329} = 3\sqrt{329}$
4
A calculator, or long division of digits, gives
$\sqrt{2961} \approx 54.415071$

LaTeX source of the formulas on this page

\[ \sqrt{2961} = 3\sqrt{329} \approx 54.415071 \]
\[ \sqrt{2961} = \sqrt{9 \times 329} = 3\sqrt{329} \]
\[ \sqrt{2961} \approx 54.415071 \]

What is the square root of 2961?

The square root of 2961 is 54.415071 (rounded to 6 decimal places). In simplest radical form it is 3√329.

Is 2961 a perfect square?

No. It lies between 54² = 2916 and 55² = 3025.

What is 2961 squared?

2961 × 2961 = 8767521.

What is the square root of 2961 rounded to 2 decimals?

54.42.