Square root of 6688

The square root of 6688 is 81.780193 (rounded to 6 decimal places). In simplest radical form it is 4√418.

Square root of 6688

Pick any whole number from 1 to 10,000.

\sqrt{6688} = 4\sqrt{418} \approx 81.780193

How to work it out

1
The square root of 6688 is the number that multiplied by itself gives 6688.
2
6688 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: 6688 = 16 × 418, so
$\sqrt{6688} = \sqrt{16 \times 418} = 4\sqrt{418}$
4
A calculator, or long division of digits, gives
$\sqrt{6688} \approx 81.780193$

LaTeX source of the formulas on this page

\[ \sqrt{6688} = 4\sqrt{418} \approx 81.780193 \]
\[ \sqrt{6688} = \sqrt{16 \times 418} = 4\sqrt{418} \]
\[ \sqrt{6688} \approx 81.780193 \]

What is the square root of 6688?

The square root of 6688 is 81.780193 (rounded to 6 decimal places). In simplest radical form it is 4√418.

Is 6688 a perfect square?

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

What is 6688 squared?

6688 × 6688 = 44729344.

What is the square root of 6688 rounded to 2 decimals?

81.78.