Square root of 4508

The square root of 4508 is 67.141641 (rounded to 6 decimal places). In simplest radical form it is 14√23.

Square root of 4508

Pick any whole number from 1 to 10,000.

\sqrt{4508} = 14\sqrt{23} \approx 67.141641

How to work it out

1
The square root of 4508 is the number that multiplied by itself gives 4508.
2
4508 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: 4508 = 196 × 23, so
$\sqrt{4508} = \sqrt{196 \times 23} = 14\sqrt{23}$
4
A calculator, or long division of digits, gives
$\sqrt{4508} \approx 67.141641$

LaTeX source of the formulas on this page

\[ \sqrt{4508} = 14\sqrt{23} \approx 67.141641 \]
\[ \sqrt{4508} = \sqrt{196 \times 23} = 14\sqrt{23} \]
\[ \sqrt{4508} \approx 67.141641 \]

What is the square root of 4508?

The square root of 4508 is 67.141641 (rounded to 6 decimal places). In simplest radical form it is 14√23.

Is 4508 a perfect square?

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

What is 4508 squared?

4508 × 4508 = 20322064.

What is the square root of 4508 rounded to 2 decimals?

67.14.