Square root of 2992

The square root of 2992 is 54.699177 (rounded to 6 decimal places). In simplest radical form it is 4√187.

Square root of 2992

Pick any whole number from 1 to 10,000.

\sqrt{2992} = 4\sqrt{187} \approx 54.699177

How to work it out

1
The square root of 2992 is the number that multiplied by itself gives 2992.
2
2992 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: 2992 = 16 × 187, so
$\sqrt{2992} = \sqrt{16 \times 187} = 4\sqrt{187}$
4
A calculator, or long division of digits, gives
$\sqrt{2992} \approx 54.699177$

LaTeX source of the formulas on this page

\[ \sqrt{2992} = 4\sqrt{187} \approx 54.699177 \]
\[ \sqrt{2992} = \sqrt{16 \times 187} = 4\sqrt{187} \]
\[ \sqrt{2992} \approx 54.699177 \]

What is the square root of 2992?

The square root of 2992 is 54.699177 (rounded to 6 decimal places). In simplest radical form it is 4√187.

Is 2992 a perfect square?

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

What is 2992 squared?

2992 × 2992 = 8952064.

What is the square root of 2992 rounded to 2 decimals?

54.70.