Square root of 2007

The square root of 2007 is 44.799554 (rounded to 6 decimal places). In simplest radical form it is 3√223.

Square root of 2007

Pick any whole number from 1 to 10,000.

\sqrt{2007} = 3\sqrt{223} \approx 44.799554

How to work it out

1
The square root of 2007 is the number that multiplied by itself gives 2007.
2
2007 is between the perfect squares 44² = 1936 and 45² = 2025, so its square root is between 44 and 45.
3
Pull out the biggest square factor: 2007 = 9 × 223, so
$\sqrt{2007} = \sqrt{9 \times 223} = 3\sqrt{223}$
4
A calculator, or long division of digits, gives
$\sqrt{2007} \approx 44.799554$

LaTeX source of the formulas on this page

\[ \sqrt{2007} = 3\sqrt{223} \approx 44.799554 \]
\[ \sqrt{2007} = \sqrt{9 \times 223} = 3\sqrt{223} \]
\[ \sqrt{2007} \approx 44.799554 \]

What is the square root of 2007?

The square root of 2007 is 44.799554 (rounded to 6 decimal places). In simplest radical form it is 3√223.

Is 2007 a perfect square?

No. It lies between 44² = 1936 and 45² = 2025.

What is 2007 squared?

2007 × 2007 = 4028049.

What is the square root of 2007 rounded to 2 decimals?

44.80.