Square root of 6664

The square root of 6664 is 81.633327 (rounded to 6 decimal places). In simplest radical form it is 14√34.

Square root of 6664

Pick any whole number from 1 to 10,000.

\sqrt{6664} = 14\sqrt{34} \approx 81.633327

How to work it out

1
The square root of 6664 is the number that multiplied by itself gives 6664.
2
6664 is between the perfect squares 81² = 6561 and 82² = 6724, so its square root is between 81 and 82.
3
Pull out the biggest square factor: 6664 = 196 × 34, so
$\sqrt{6664} = \sqrt{196 \times 34} = 14\sqrt{34}$
4
A calculator, or long division of digits, gives
$\sqrt{6664} \approx 81.633327$

LaTeX source of the formulas on this page

\[ \sqrt{6664} = 14\sqrt{34} \approx 81.633327 \]
\[ \sqrt{6664} = \sqrt{196 \times 34} = 14\sqrt{34} \]
\[ \sqrt{6664} \approx 81.633327 \]

What is the square root of 6664?

The square root of 6664 is 81.633327 (rounded to 6 decimal places). In simplest radical form it is 14√34.

Is 6664 a perfect square?

No. It lies between 81² = 6561 and 82² = 6724.

What is 6664 squared?

6664 × 6664 = 44408896.

What is the square root of 6664 rounded to 2 decimals?

81.63.