Square root of 5904

The square root of 5904 is 76.837491 (rounded to 6 decimal places). In simplest radical form it is 12√41.

Square root of 5904

Pick any whole number from 1 to 10,000.

\sqrt{5904} = 12\sqrt{41} \approx 76.837491

How to work it out

1
The square root of 5904 is the number that multiplied by itself gives 5904.
2
5904 is between the perfect squares 76² = 5776 and 77² = 5929, so its square root is between 76 and 77.
3
Pull out the biggest square factor: 5904 = 144 × 41, so
$\sqrt{5904} = \sqrt{144 \times 41} = 12\sqrt{41}$
4
A calculator, or long division of digits, gives
$\sqrt{5904} \approx 76.837491$

LaTeX source of the formulas on this page

\[ \sqrt{5904} = 12\sqrt{41} \approx 76.837491 \]
\[ \sqrt{5904} = \sqrt{144 \times 41} = 12\sqrt{41} \]
\[ \sqrt{5904} \approx 76.837491 \]

What is the square root of 5904?

The square root of 5904 is 76.837491 (rounded to 6 decimal places). In simplest radical form it is 12√41.

Is 5904 a perfect square?

No. It lies between 76² = 5776 and 77² = 5929.

What is 5904 squared?

5904 × 5904 = 34857216.

What is the square root of 5904 rounded to 2 decimals?

76.84.