Square root of 6988

The square root of 6988 is 83.594258 (rounded to 6 decimal places). In simplest radical form it is 2√1747.

Square root of 6988

Pick any whole number from 1 to 10,000.

\sqrt{6988} = 2\sqrt{1747} \approx 83.594258

How to work it out

1
The square root of 6988 is the number that multiplied by itself gives 6988.
2
6988 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: 6988 = 4 × 1747, so
$\sqrt{6988} = \sqrt{4 \times 1747} = 2\sqrt{1747}$
4
A calculator, or long division of digits, gives
$\sqrt{6988} \approx 83.594258$

LaTeX source of the formulas on this page

\[ \sqrt{6988} = 2\sqrt{1747} \approx 83.594258 \]
\[ \sqrt{6988} = \sqrt{4 \times 1747} = 2\sqrt{1747} \]
\[ \sqrt{6988} \approx 83.594258 \]

What is the square root of 6988?

The square root of 6988 is 83.594258 (rounded to 6 decimal places). In simplest radical form it is 2√1747.

Is 6988 a perfect square?

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

What is 6988 squared?

6988 × 6988 = 48832144.

What is the square root of 6988 rounded to 2 decimals?

83.59.