Square root of 2988

The square root of 2988 is 54.662601 (rounded to 6 decimal places). In simplest radical form it is 6√83.

Square root of 2988

Pick any whole number from 1 to 10,000.

\sqrt{2988} = 6\sqrt{83} \approx 54.662601

How to work it out

1
The square root of 2988 is the number that multiplied by itself gives 2988.
2
2988 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: 2988 = 36 × 83, so
$\sqrt{2988} = \sqrt{36 \times 83} = 6\sqrt{83}$
4
A calculator, or long division of digits, gives
$\sqrt{2988} \approx 54.662601$

LaTeX source of the formulas on this page

\[ \sqrt{2988} = 6\sqrt{83} \approx 54.662601 \]
\[ \sqrt{2988} = \sqrt{36 \times 83} = 6\sqrt{83} \]
\[ \sqrt{2988} \approx 54.662601 \]

What is the square root of 2988?

The square root of 2988 is 54.662601 (rounded to 6 decimal places). In simplest radical form it is 6√83.

Is 2988 a perfect square?

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

What is 2988 squared?

2988 × 2988 = 8928144.

What is the square root of 2988 rounded to 2 decimals?

54.66.