Square root of 4516

The square root of 4516 is 67.20119 (rounded to 6 decimal places). In simplest radical form it is 2√1129.

Square root of 4516

Pick any whole number from 1 to 10,000.

\sqrt{4516} = 2\sqrt{1129} \approx 67.20119

How to work it out

1
The square root of 4516 is the number that multiplied by itself gives 4516.
2
4516 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: 4516 = 4 × 1129, so
$\sqrt{4516} = \sqrt{4 \times 1129} = 2\sqrt{1129}$
4
A calculator, or long division of digits, gives
$\sqrt{4516} \approx 67.20119$

LaTeX source of the formulas on this page

\[ \sqrt{4516} = 2\sqrt{1129} \approx 67.20119 \]
\[ \sqrt{4516} = \sqrt{4 \times 1129} = 2\sqrt{1129} \]
\[ \sqrt{4516} \approx 67.20119 \]

What is the square root of 4516?

The square root of 4516 is 67.20119 (rounded to 6 decimal places). In simplest radical form it is 2√1129.

Is 4516 a perfect square?

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

What is 4516 squared?

4516 × 4516 = 20394256.

What is the square root of 4516 rounded to 2 decimals?

67.20.