Square root of 2128

The square root of 2128 is 46.13025 (rounded to 6 decimal places). In simplest radical form it is 4√133.

Square root of 2128

Pick any whole number from 1 to 10,000.

\sqrt{2128} = 4\sqrt{133} \approx 46.13025

How to work it out

1
The square root of 2128 is the number that multiplied by itself gives 2128.
2
2128 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: 2128 = 16 × 133, so
$\sqrt{2128} = \sqrt{16 \times 133} = 4\sqrt{133}$
4
A calculator, or long division of digits, gives
$\sqrt{2128} \approx 46.13025$

LaTeX source of the formulas on this page

\[ \sqrt{2128} = 4\sqrt{133} \approx 46.13025 \]
\[ \sqrt{2128} = \sqrt{16 \times 133} = 4\sqrt{133} \]
\[ \sqrt{2128} \approx 46.13025 \]

What is the square root of 2128?

The square root of 2128 is 46.13025 (rounded to 6 decimal places). In simplest radical form it is 4√133.

Is 2128 a perfect square?

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

What is 2128 squared?

2128 × 2128 = 4528384.

What is the square root of 2128 rounded to 2 decimals?

46.13.