Square root of 4509

The square root of 4509 is 67.149088 (rounded to 6 decimal places). In simplest radical form it is 3√501.

Square root of 4509

Pick any whole number from 1 to 10,000.

\sqrt{4509} = 3\sqrt{501} \approx 67.149088

How to work it out

1
The square root of 4509 is the number that multiplied by itself gives 4509.
2
4509 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: 4509 = 9 × 501, so
$\sqrt{4509} = \sqrt{9 \times 501} = 3\sqrt{501}$
4
A calculator, or long division of digits, gives
$\sqrt{4509} \approx 67.149088$

LaTeX source of the formulas on this page

\[ \sqrt{4509} = 3\sqrt{501} \approx 67.149088 \]
\[ \sqrt{4509} = \sqrt{9 \times 501} = 3\sqrt{501} \]
\[ \sqrt{4509} \approx 67.149088 \]

What is the square root of 4509?

The square root of 4509 is 67.149088 (rounded to 6 decimal places). In simplest radical form it is 3√501.

Is 4509 a perfect square?

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

What is 4509 squared?

4509 × 4509 = 20331081.

What is the square root of 4509 rounded to 2 decimals?

67.15.