Square root of 7904

The square root of 7904 is 88.904443 (rounded to 6 decimal places). In simplest radical form it is 4√494.

Square root of 7904

Pick any whole number from 1 to 10,000.

\sqrt{7904} = 4\sqrt{494} \approx 88.904443

How to work it out

1
The square root of 7904 is the number that multiplied by itself gives 7904.
2
7904 is between the perfect squares 88² = 7744 and 89² = 7921, so its square root is between 88 and 89.
3
Pull out the biggest square factor: 7904 = 16 × 494, so
$\sqrt{7904} = \sqrt{16 \times 494} = 4\sqrt{494}$
4
A calculator, or long division of digits, gives
$\sqrt{7904} \approx 88.904443$

LaTeX source of the formulas on this page

\[ \sqrt{7904} = 4\sqrt{494} \approx 88.904443 \]
\[ \sqrt{7904} = \sqrt{16 \times 494} = 4\sqrt{494} \]
\[ \sqrt{7904} \approx 88.904443 \]

What is the square root of 7904?

The square root of 7904 is 88.904443 (rounded to 6 decimal places). In simplest radical form it is 4√494.

Is 7904 a perfect square?

No. It lies between 88² = 7744 and 89² = 7921.

What is 7904 squared?

7904 × 7904 = 62473216.

What is the square root of 7904 rounded to 2 decimals?

88.90.