Square root of 6980

The square root of 6980 is 83.546394 (rounded to 6 decimal places). In simplest radical form it is 2√1745.

Square root of 6980

Pick any whole number from 1 to 10,000.

\sqrt{6980} = 2\sqrt{1745} \approx 83.546394

How to work it out

1
The square root of 6980 is the number that multiplied by itself gives 6980.
2
6980 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: 6980 = 4 × 1745, so
$\sqrt{6980} = \sqrt{4 \times 1745} = 2\sqrt{1745}$
4
A calculator, or long division of digits, gives
$\sqrt{6980} \approx 83.546394$

LaTeX source of the formulas on this page

\[ \sqrt{6980} = 2\sqrt{1745} \approx 83.546394 \]
\[ \sqrt{6980} = \sqrt{4 \times 1745} = 2\sqrt{1745} \]
\[ \sqrt{6980} \approx 83.546394 \]

What is the square root of 6980?

The square root of 6980 is 83.546394 (rounded to 6 decimal places). In simplest radical form it is 2√1745.

Is 6980 a perfect square?

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

What is 6980 squared?

6980 × 6980 = 48720400.

What is the square root of 6980 rounded to 2 decimals?

83.55.