Square root of 2061

The square root of 2061 is 45.398238 (rounded to 6 decimal places). In simplest radical form it is 3√229.

Square root of 2061

Pick any whole number from 1 to 10,000.

\sqrt{2061} = 3\sqrt{229} \approx 45.398238

How to work it out

1
The square root of 2061 is the number that multiplied by itself gives 2061.
2
2061 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: 2061 = 9 × 229, so
$\sqrt{2061} = \sqrt{9 \times 229} = 3\sqrt{229}$
4
A calculator, or long division of digits, gives
$\sqrt{2061} \approx 45.398238$

LaTeX source of the formulas on this page

\[ \sqrt{2061} = 3\sqrt{229} \approx 45.398238 \]
\[ \sqrt{2061} = \sqrt{9 \times 229} = 3\sqrt{229} \]
\[ \sqrt{2061} \approx 45.398238 \]

What is the square root of 2061?

The square root of 2061 is 45.398238 (rounded to 6 decimal places). In simplest radical form it is 3√229.

Is 2061 a perfect square?

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

What is 2061 squared?

2061 × 2061 = 4247721.

What is the square root of 2061 rounded to 2 decimals?

45.40.