Square root of 4524

The square root of 4524 is 67.260687 (rounded to 6 decimal places). In simplest radical form it is 2√1131.

Square root of 4524

Pick any whole number from 1 to 10,000.

\sqrt{4524} = 2\sqrt{1131} \approx 67.260687

How to work it out

1
The square root of 4524 is the number that multiplied by itself gives 4524.
2
4524 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: 4524 = 4 × 1131, so
$\sqrt{4524} = \sqrt{4 \times 1131} = 2\sqrt{1131}$
4
A calculator, or long division of digits, gives
$\sqrt{4524} \approx 67.260687$

LaTeX source of the formulas on this page

\[ \sqrt{4524} = 2\sqrt{1131} \approx 67.260687 \]
\[ \sqrt{4524} = \sqrt{4 \times 1131} = 2\sqrt{1131} \]
\[ \sqrt{4524} \approx 67.260687 \]

What is the square root of 4524?

The square root of 4524 is 67.260687 (rounded to 6 decimal places). In simplest radical form it is 2√1131.

Is 4524 a perfect square?

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

What is 4524 squared?

4524 × 4524 = 20466576.

What is the square root of 4524 rounded to 2 decimals?

67.26.