Square root of 3016

The square root of 3016 is 54.918121 (rounded to 6 decimal places). In simplest radical form it is 2√754.

Square root of 3016

Pick any whole number from 1 to 10,000.

\sqrt{3016} = 2\sqrt{754} \approx 54.918121

How to work it out

1
The square root of 3016 is the number that multiplied by itself gives 3016.
2
3016 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: 3016 = 4 × 754, so
$\sqrt{3016} = \sqrt{4 \times 754} = 2\sqrt{754}$
4
A calculator, or long division of digits, gives
$\sqrt{3016} \approx 54.918121$

LaTeX source of the formulas on this page

\[ \sqrt{3016} = 2\sqrt{754} \approx 54.918121 \]
\[ \sqrt{3016} = \sqrt{4 \times 754} = 2\sqrt{754} \]
\[ \sqrt{3016} \approx 54.918121 \]

What is the square root of 3016?

The square root of 3016 is 54.918121 (rounded to 6 decimal places). In simplest radical form it is 2√754.

Is 3016 a perfect square?

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

What is 3016 squared?

3016 × 3016 = 9096256.

What is the square root of 3016 rounded to 2 decimals?

54.92.