Square root of 3012

The square root of 3012 is 54.881691 (rounded to 6 decimal places). In simplest radical form it is 2√753.

Square root of 3012

Pick any whole number from 1 to 10,000.

\sqrt{3012} = 2\sqrt{753} \approx 54.881691

How to work it out

1
The square root of 3012 is the number that multiplied by itself gives 3012.
2
3012 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: 3012 = 4 × 753, so
$\sqrt{3012} = \sqrt{4 \times 753} = 2\sqrt{753}$
4
A calculator, or long division of digits, gives
$\sqrt{3012} \approx 54.881691$

LaTeX source of the formulas on this page

\[ \sqrt{3012} = 2\sqrt{753} \approx 54.881691 \]
\[ \sqrt{3012} = \sqrt{4 \times 753} = 2\sqrt{753} \]
\[ \sqrt{3012} \approx 54.881691 \]

What is the square root of 3012?

The square root of 3012 is 54.881691 (rounded to 6 decimal places). In simplest radical form it is 2√753.

Is 3012 a perfect square?

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

What is 3012 squared?

3012 × 3012 = 9072144.

What is the square root of 3012 rounded to 2 decimals?

54.88.