Square root of 2096

The square root of 2096 is 45.782093 (rounded to 6 decimal places). In simplest radical form it is 4√131.

Square root of 2096

Pick any whole number from 1 to 10,000.

\sqrt{2096} = 4\sqrt{131} \approx 45.782093

How to work it out

1
The square root of 2096 is the number that multiplied by itself gives 2096.
2
2096 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: 2096 = 16 × 131, so
$\sqrt{2096} = \sqrt{16 \times 131} = 4\sqrt{131}$
4
A calculator, or long division of digits, gives
$\sqrt{2096} \approx 45.782093$

LaTeX source of the formulas on this page

\[ \sqrt{2096} = 4\sqrt{131} \approx 45.782093 \]
\[ \sqrt{2096} = \sqrt{16 \times 131} = 4\sqrt{131} \]
\[ \sqrt{2096} \approx 45.782093 \]

What is the square root of 2096?

The square root of 2096 is 45.782093 (rounded to 6 decimal places). In simplest radical form it is 4√131.

Is 2096 a perfect square?

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

What is 2096 squared?

2096 × 2096 = 4393216.

What is the square root of 2096 rounded to 2 decimals?

45.78.