Square root of 6904

The square root of 6904 is 83.090312 (rounded to 6 decimal places). In simplest radical form it is 2√1726.

Square root of 6904

Pick any whole number from 1 to 10,000.

\sqrt{6904} = 2\sqrt{1726} \approx 83.090312

How to work it out

1
The square root of 6904 is the number that multiplied by itself gives 6904.
2
6904 is between the perfect squares 83² = 6889 and 84² = 7056, so its square root is between 83 and 84.
3
Pull out the biggest square factor: 6904 = 4 × 1726, so
$\sqrt{6904} = \sqrt{4 \times 1726} = 2\sqrt{1726}$
4
A calculator, or long division of digits, gives
$\sqrt{6904} \approx 83.090312$

LaTeX source of the formulas on this page

\[ \sqrt{6904} = 2\sqrt{1726} \approx 83.090312 \]
\[ \sqrt{6904} = \sqrt{4 \times 1726} = 2\sqrt{1726} \]
\[ \sqrt{6904} \approx 83.090312 \]

What is the square root of 6904?

The square root of 6904 is 83.090312 (rounded to 6 decimal places). In simplest radical form it is 2√1726.

Is 6904 a perfect square?

No. It lies between 83² = 6889 and 84² = 7056.

What is 6904 squared?

6904 × 6904 = 47665216.

What is the square root of 6904 rounded to 2 decimals?

83.09.