Square root of 2112

The square root of 2112 is 45.956501 (rounded to 6 decimal places). In simplest radical form it is 8√33.

Square root of 2112

Pick any whole number from 1 to 10,000.

\sqrt{2112} = 8\sqrt{33} \approx 45.956501

How to work it out

1
The square root of 2112 is the number that multiplied by itself gives 2112.
2
2112 is between the perfect squares 45² = 2025 and 46² = 2116, so its square root is between 45 and 46.
3
Pull out the biggest square factor: 2112 = 64 × 33, so
$\sqrt{2112} = \sqrt{64 \times 33} = 8\sqrt{33}$
4
A calculator, or long division of digits, gives
$\sqrt{2112} \approx 45.956501$

LaTeX source of the formulas on this page

\[ \sqrt{2112} = 8\sqrt{33} \approx 45.956501 \]
\[ \sqrt{2112} = \sqrt{64 \times 33} = 8\sqrt{33} \]
\[ \sqrt{2112} \approx 45.956501 \]

What is the square root of 2112?

The square root of 2112 is 45.956501 (rounded to 6 decimal places). In simplest radical form it is 8√33.

Is 2112 a perfect square?

No. It lies between 45² = 2025 and 46² = 2116.

What is 2112 squared?

2112 × 2112 = 4460544.

What is the square root of 2112 rounded to 2 decimals?

45.96.