Square root of 2052

The square root of 2052 is 45.299007 (rounded to 6 decimal places). In simplest radical form it is 6√57.

Square root of 2052

Pick any whole number from 1 to 10,000.

\sqrt{2052} = 6\sqrt{57} \approx 45.299007

How to work it out

1
The square root of 2052 is the number that multiplied by itself gives 2052.
2
2052 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: 2052 = 36 × 57, so
$\sqrt{2052} = \sqrt{36 \times 57} = 6\sqrt{57}$
4
A calculator, or long division of digits, gives
$\sqrt{2052} \approx 45.299007$

LaTeX source of the formulas on this page

\[ \sqrt{2052} = 6\sqrt{57} \approx 45.299007 \]
\[ \sqrt{2052} = \sqrt{36 \times 57} = 6\sqrt{57} \]
\[ \sqrt{2052} \approx 45.299007 \]

What is the square root of 2052?

The square root of 2052 is 45.299007 (rounded to 6 decimal places). In simplest radical form it is 6√57.

Is 2052 a perfect square?

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

What is 2052 squared?

2052 × 2052 = 4210704.

What is the square root of 2052 rounded to 2 decimals?

45.30.