Square root of 2952

The square root of 2952 is 54.332311 (rounded to 6 decimal places). In simplest radical form it is 6√82.

Square root of 2952

Pick any whole number from 1 to 10,000.

\sqrt{2952} = 6\sqrt{82} \approx 54.332311

How to work it out

1
The square root of 2952 is the number that multiplied by itself gives 2952.
2
2952 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: 2952 = 36 × 82, so
$\sqrt{2952} = \sqrt{36 \times 82} = 6\sqrt{82}$
4
A calculator, or long division of digits, gives
$\sqrt{2952} \approx 54.332311$

LaTeX source of the formulas on this page

\[ \sqrt{2952} = 6\sqrt{82} \approx 54.332311 \]
\[ \sqrt{2952} = \sqrt{36 \times 82} = 6\sqrt{82} \]
\[ \sqrt{2952} \approx 54.332311 \]

What is the square root of 2952?

The square root of 2952 is 54.332311 (rounded to 6 decimal places). In simplest radical form it is 6√82.

Is 2952 a perfect square?

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

What is 2952 squared?

2952 × 2952 = 8714304.

What is the square root of 2952 rounded to 2 decimals?

54.33.