Square root of 7696

The square root of 7696 is 87.726849 (rounded to 6 decimal places). In simplest radical form it is 4√481.

Square root of 7696

Pick any whole number from 1 to 10,000.

\sqrt{7696} = 4\sqrt{481} \approx 87.726849

How to work it out

1
The square root of 7696 is the number that multiplied by itself gives 7696.
2
7696 is between the perfect squares 87² = 7569 and 88² = 7744, so its square root is between 87 and 88.
3
Pull out the biggest square factor: 7696 = 16 × 481, so
$\sqrt{7696} = \sqrt{16 \times 481} = 4\sqrt{481}$
4
A calculator, or long division of digits, gives
$\sqrt{7696} \approx 87.726849$

LaTeX source of the formulas on this page

\[ \sqrt{7696} = 4\sqrt{481} \approx 87.726849 \]
\[ \sqrt{7696} = \sqrt{16 \times 481} = 4\sqrt{481} \]
\[ \sqrt{7696} \approx 87.726849 \]

What is the square root of 7696?

The square root of 7696 is 87.726849 (rounded to 6 decimal places). In simplest radical form it is 4√481.

Is 7696 a perfect square?

No. It lies between 87² = 7569 and 88² = 7744.

What is 7696 squared?

7696 × 7696 = 59228416.

What is the square root of 7696 rounded to 2 decimals?

87.73.