Square root of 608

The square root of 608 is 24.657656 (rounded to 6 decimal places). In simplest radical form it is 4√38.

Square root of 608

Pick any whole number from 1 to 10,000.

\sqrt{608} = 4\sqrt{38} \approx 24.657656

How to work it out

1
The square root of 608 is the number that multiplied by itself gives 608.
2
608 is between the perfect squares 24² = 576 and 25² = 625, so its square root is between 24 and 25.
3
Pull out the biggest square factor: 608 = 16 × 38, so
$\sqrt{608} = \sqrt{16 \times 38} = 4\sqrt{38}$
4
A calculator, or long division of digits, gives
$\sqrt{608} \approx 24.657656$

LaTeX source of the formulas on this page

\[ \sqrt{608} = 4\sqrt{38} \approx 24.657656 \]
\[ \sqrt{608} = \sqrt{16 \times 38} = 4\sqrt{38} \]
\[ \sqrt{608} \approx 24.657656 \]

What is the square root of 608?

The square root of 608 is 24.657656 (rounded to 6 decimal places). In simplest radical form it is 4√38.

Is 608 a perfect square?

No. It lies between 24² = 576 and 25² = 625.

What is 608 squared?

608 × 608 = 369664.

What is the square root of 608 rounded to 2 decimals?

24.66.