Square root of 7664

The square root of 7664 is 87.544275 (rounded to 6 decimal places). In simplest radical form it is 4√479.

Square root of 7664

Pick any whole number from 1 to 10,000.

\sqrt{7664} = 4\sqrt{479} \approx 87.544275

How to work it out

1
The square root of 7664 is the number that multiplied by itself gives 7664.
2
7664 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: 7664 = 16 × 479, so
$\sqrt{7664} = \sqrt{16 \times 479} = 4\sqrt{479}$
4
A calculator, or long division of digits, gives
$\sqrt{7664} \approx 87.544275$

LaTeX source of the formulas on this page

\[ \sqrt{7664} = 4\sqrt{479} \approx 87.544275 \]
\[ \sqrt{7664} = \sqrt{16 \times 479} = 4\sqrt{479} \]
\[ \sqrt{7664} \approx 87.544275 \]

What is the square root of 7664?

The square root of 7664 is 87.544275 (rounded to 6 decimal places). In simplest radical form it is 4√479.

Is 7664 a perfect square?

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

What is 7664 squared?

7664 × 7664 = 58736896.

What is the square root of 7664 rounded to 2 decimals?

87.54.