Square root of 604

The square root of 604 is 24.576411 (rounded to 6 decimal places). In simplest radical form it is 2√151.

Square root of 604

Pick any whole number from 1 to 10,000.

\sqrt{604} = 2\sqrt{151} \approx 24.576411

How to work it out

1
The square root of 604 is the number that multiplied by itself gives 604.
2
604 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: 604 = 4 × 151, so
$\sqrt{604} = \sqrt{4 \times 151} = 2\sqrt{151}$
4
A calculator, or long division of digits, gives
$\sqrt{604} \approx 24.576411$

LaTeX source of the formulas on this page

\[ \sqrt{604} = 2\sqrt{151} \approx 24.576411 \]
\[ \sqrt{604} = \sqrt{4 \times 151} = 2\sqrt{151} \]
\[ \sqrt{604} \approx 24.576411 \]

What is the square root of 604?

The square root of 604 is 24.576411 (rounded to 6 decimal places). In simplest radical form it is 2√151.

Is 604 a perfect square?

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

What is 604 squared?

604 × 604 = 364816.

What is the square root of 604 rounded to 2 decimals?

24.58.