Square root of 2133

The square root of 2133 is 46.184413 (rounded to 6 decimal places). In simplest radical form it is 3√237.

Square root of 2133

Pick any whole number from 1 to 10,000.

\sqrt{2133} = 3\sqrt{237} \approx 46.184413

How to work it out

1
The square root of 2133 is the number that multiplied by itself gives 2133.
2
2133 is between the perfect squares 46² = 2116 and 47² = 2209, so its square root is between 46 and 47.
3
Pull out the biggest square factor: 2133 = 9 × 237, so
$\sqrt{2133} = \sqrt{9 \times 237} = 3\sqrt{237}$
4
A calculator, or long division of digits, gives
$\sqrt{2133} \approx 46.184413$

LaTeX source of the formulas on this page

\[ \sqrt{2133} = 3\sqrt{237} \approx 46.184413 \]
\[ \sqrt{2133} = \sqrt{9 \times 237} = 3\sqrt{237} \]
\[ \sqrt{2133} \approx 46.184413 \]

What is the square root of 2133?

The square root of 2133 is 46.184413 (rounded to 6 decimal places). In simplest radical form it is 3√237.

Is 2133 a perfect square?

No. It lies between 46² = 2116 and 47² = 2209.

What is 2133 squared?

2133 × 2133 = 4549689.

What is the square root of 2133 rounded to 2 decimals?

46.18.