Square root of 4608

The square root of 4608 is 67.882251 (rounded to 6 decimal places). In simplest radical form it is 48√2.

Square root of 4608

Pick any whole number from 1 to 10,000.

\sqrt{4608} = 48\sqrt{2} \approx 67.882251

How to work it out

1
The square root of 4608 is the number that multiplied by itself gives 4608.
2
4608 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: 4608 = 2304 × 2, so
$\sqrt{4608} = \sqrt{2304 \times 2} = 48\sqrt{2}$
4
A calculator, or long division of digits, gives
$\sqrt{4608} \approx 67.882251$

LaTeX source of the formulas on this page

\[ \sqrt{4608} = 48\sqrt{2} \approx 67.882251 \]
\[ \sqrt{4608} = \sqrt{2304 \times 2} = 48\sqrt{2} \]
\[ \sqrt{4608} \approx 67.882251 \]

What is the square root of 4608?

The square root of 4608 is 67.882251 (rounded to 6 decimal places). In simplest radical form it is 48√2.

Is 4608 a perfect square?

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

What is 4608 squared?

4608 × 4608 = 21233664.

What is the square root of 4608 rounded to 2 decimals?

67.88.