Square root of 4616

The square root of 4616 is 67.941151 (rounded to 6 decimal places). In simplest radical form it is 2√1154.

Square root of 4616

Pick any whole number from 1 to 10,000.

\sqrt{4616} = 2\sqrt{1154} \approx 67.941151

How to work it out

1
The square root of 4616 is the number that multiplied by itself gives 4616.
2
4616 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: 4616 = 4 × 1154, so
$\sqrt{4616} = \sqrt{4 \times 1154} = 2\sqrt{1154}$
4
A calculator, or long division of digits, gives
$\sqrt{4616} \approx 67.941151$

LaTeX source of the formulas on this page

\[ \sqrt{4616} = 2\sqrt{1154} \approx 67.941151 \]
\[ \sqrt{4616} = \sqrt{4 \times 1154} = 2\sqrt{1154} \]
\[ \sqrt{4616} \approx 67.941151 \]

What is the square root of 4616?

The square root of 4616 is 67.941151 (rounded to 6 decimal places). In simplest radical form it is 2√1154.

Is 4616 a perfect square?

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

What is 4616 squared?

4616 × 4616 = 21307456.

What is the square root of 4616 rounded to 2 decimals?

67.94.