Square root of 6909

The square root of 6909 is 83.120395 (rounded to 6 decimal places). In simplest radical form it is 7√141.

Square root of 6909

Pick any whole number from 1 to 10,000.

\sqrt{6909} = 7\sqrt{141} \approx 83.120395

How to work it out

1
The square root of 6909 is the number that multiplied by itself gives 6909.
2
6909 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: 6909 = 49 × 141, so
$\sqrt{6909} = \sqrt{49 \times 141} = 7\sqrt{141}$
4
A calculator, or long division of digits, gives
$\sqrt{6909} \approx 83.120395$

LaTeX source of the formulas on this page

\[ \sqrt{6909} = 7\sqrt{141} \approx 83.120395 \]
\[ \sqrt{6909} = \sqrt{49 \times 141} = 7\sqrt{141} \]
\[ \sqrt{6909} \approx 83.120395 \]

What is the square root of 6909?

The square root of 6909 is 83.120395 (rounded to 6 decimal places). In simplest radical form it is 7√141.

Is 6909 a perfect square?

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

What is 6909 squared?

6909 × 6909 = 47734281.

What is the square root of 6909 rounded to 2 decimals?

83.12.