Square root of 2144

The square root of 2144 is 46.303348 (rounded to 6 decimal places). In simplest radical form it is 4√134.

Square root of 2144

Pick any whole number from 1 to 10,000.

\sqrt{2144} = 4\sqrt{134} \approx 46.303348

How to work it out

1
The square root of 2144 is the number that multiplied by itself gives 2144.
2
2144 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: 2144 = 16 × 134, so
$\sqrt{2144} = \sqrt{16 \times 134} = 4\sqrt{134}$
4
A calculator, or long division of digits, gives
$\sqrt{2144} \approx 46.303348$

LaTeX source of the formulas on this page

\[ \sqrt{2144} = 4\sqrt{134} \approx 46.303348 \]
\[ \sqrt{2144} = \sqrt{16 \times 134} = 4\sqrt{134} \]
\[ \sqrt{2144} \approx 46.303348 \]

What is the square root of 2144?

The square root of 2144 is 46.303348 (rounded to 6 decimal places). In simplest radical form it is 4√134.

Is 2144 a perfect square?

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

What is 2144 squared?

2144 × 2144 = 4596736.

What is the square root of 2144 rounded to 2 decimals?

46.30.