Square root of 664

The square root of 664 is 25.768197 (rounded to 6 decimal places). In simplest radical form it is 2√166.

Square root of 664

Pick any whole number from 1 to 10,000.

\sqrt{664} = 2\sqrt{166} \approx 25.768197

How to work it out

1
The square root of 664 is the number that multiplied by itself gives 664.
2
664 is between the perfect squares 25² = 625 and 26² = 676, so its square root is between 25 and 26.
3
Pull out the biggest square factor: 664 = 4 × 166, so
$\sqrt{664} = \sqrt{4 \times 166} = 2\sqrt{166}$
4
A calculator, or long division of digits, gives
$\sqrt{664} \approx 25.768197$

LaTeX source of the formulas on this page

\[ \sqrt{664} = 2\sqrt{166} \approx 25.768197 \]
\[ \sqrt{664} = \sqrt{4 \times 166} = 2\sqrt{166} \]
\[ \sqrt{664} \approx 25.768197 \]

What is the square root of 664?

The square root of 664 is 25.768197 (rounded to 6 decimal places). In simplest radical form it is 2√166.

Is 664 a perfect square?

No. It lies between 25² = 625 and 26² = 676.

What is 664 squared?

664 × 664 = 440896.

What is the square root of 664 rounded to 2 decimals?

25.77.