Square root of 4504

The square root of 4504 is 67.111847 (rounded to 6 decimal places). In simplest radical form it is 2√1126.

Square root of 4504

Pick any whole number from 1 to 10,000.

\sqrt{4504} = 2\sqrt{1126} \approx 67.111847

How to work it out

1
The square root of 4504 is the number that multiplied by itself gives 4504.
2
4504 is between the perfect squares 67² = 4489 and 68² = 4624, so its square root is between 67 and 68.
3
Pull out the biggest square factor: 4504 = 4 × 1126, so
$\sqrt{4504} = \sqrt{4 \times 1126} = 2\sqrt{1126}$
4
A calculator, or long division of digits, gives
$\sqrt{4504} \approx 67.111847$

LaTeX source of the formulas on this page

\[ \sqrt{4504} = 2\sqrt{1126} \approx 67.111847 \]
\[ \sqrt{4504} = \sqrt{4 \times 1126} = 2\sqrt{1126} \]
\[ \sqrt{4504} \approx 67.111847 \]

What is the square root of 4504?

The square root of 4504 is 67.111847 (rounded to 6 decimal places). In simplest radical form it is 2√1126.

Is 4504 a perfect square?

No. It lies between 67² = 4489 and 68² = 4624.

What is 4504 squared?

4504 × 4504 = 20286016.

What is the square root of 4504 rounded to 2 decimals?

67.11.