Square root of 6704

The square root of 6704 is 81.877958 (rounded to 6 decimal places). In simplest radical form it is 4√419.

Square root of 6704

Pick any whole number from 1 to 10,000.

\sqrt{6704} = 4\sqrt{419} \approx 81.877958

How to work it out

1
The square root of 6704 is the number that multiplied by itself gives 6704.
2
6704 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: 6704 = 16 × 419, so
$\sqrt{6704} = \sqrt{16 \times 419} = 4\sqrt{419}$
4
A calculator, or long division of digits, gives
$\sqrt{6704} \approx 81.877958$

LaTeX source of the formulas on this page

\[ \sqrt{6704} = 4\sqrt{419} \approx 81.877958 \]
\[ \sqrt{6704} = \sqrt{16 \times 419} = 4\sqrt{419} \]
\[ \sqrt{6704} \approx 81.877958 \]

What is the square root of 6704?

The square root of 6704 is 81.877958 (rounded to 6 decimal places). In simplest radical form it is 4√419.

Is 6704 a perfect square?

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

What is 6704 squared?

6704 × 6704 = 44943616.

What is the square root of 6704 rounded to 2 decimals?

81.88.