Square root of 6921

The square root of 6921 is 83.192548 (rounded to 6 decimal places). In simplest radical form it is 3√769.

Square root of 6921

Pick any whole number from 1 to 10,000.

\sqrt{6921} = 3\sqrt{769} \approx 83.192548

How to work it out

1
The square root of 6921 is the number that multiplied by itself gives 6921.
2
6921 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: 6921 = 9 × 769, so
$\sqrt{6921} = \sqrt{9 \times 769} = 3\sqrt{769}$
4
A calculator, or long division of digits, gives
$\sqrt{6921} \approx 83.192548$

LaTeX source of the formulas on this page

\[ \sqrt{6921} = 3\sqrt{769} \approx 83.192548 \]
\[ \sqrt{6921} = \sqrt{9 \times 769} = 3\sqrt{769} \]
\[ \sqrt{6921} \approx 83.192548 \]

What is the square root of 6921?

The square root of 6921 is 83.192548 (rounded to 6 decimal places). In simplest radical form it is 3√769.

Is 6921 a perfect square?

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

What is 6921 squared?

6921 × 6921 = 47900241.

What is the square root of 6921 rounded to 2 decimals?

83.19.