Square root of 2142

The square root of 2142 is 46.281746 (rounded to 6 decimal places). In simplest radical form it is 3√238.

Square root of 2142

Pick any whole number from 1 to 10,000.

\sqrt{2142} = 3\sqrt{238} \approx 46.281746

How to work it out

1
The square root of 2142 is the number that multiplied by itself gives 2142.
2
2142 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: 2142 = 9 × 238, so
$\sqrt{2142} = \sqrt{9 \times 238} = 3\sqrt{238}$
4
A calculator, or long division of digits, gives
$\sqrt{2142} \approx 46.281746$

LaTeX source of the formulas on this page

\[ \sqrt{2142} = 3\sqrt{238} \approx 46.281746 \]
\[ \sqrt{2142} = \sqrt{9 \times 238} = 3\sqrt{238} \]
\[ \sqrt{2142} \approx 46.281746 \]

What is the square root of 2142?

The square root of 2142 is 46.281746 (rounded to 6 decimal places). In simplest radical form it is 3√238.

Is 2142 a perfect square?

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

What is 2142 squared?

2142 × 2142 = 4588164.

What is the square root of 2142 rounded to 2 decimals?

46.28.