Square root of 6788

The square root of 6788 is 82.38932 (rounded to 6 decimal places). In simplest radical form it is 2√1697.

Square root of 6788

Pick any whole number from 1 to 10,000.

\sqrt{6788} = 2\sqrt{1697} \approx 82.38932

How to work it out

1
The square root of 6788 is the number that multiplied by itself gives 6788.
2
6788 is between the perfect squares 82² = 6724 and 83² = 6889, so its square root is between 82 and 83.
3
Pull out the biggest square factor: 6788 = 4 × 1697, so
$\sqrt{6788} = \sqrt{4 \times 1697} = 2\sqrt{1697}$
4
A calculator, or long division of digits, gives
$\sqrt{6788} \approx 82.38932$

LaTeX source of the formulas on this page

\[ \sqrt{6788} = 2\sqrt{1697} \approx 82.38932 \]
\[ \sqrt{6788} = \sqrt{4 \times 1697} = 2\sqrt{1697} \]
\[ \sqrt{6788} \approx 82.38932 \]

What is the square root of 6788?

The square root of 6788 is 82.38932 (rounded to 6 decimal places). In simplest radical form it is 2√1697.

Is 6788 a perfect square?

No. It lies between 82² = 6724 and 83² = 6889.

What is 6788 squared?

6788 × 6788 = 46076944.

What is the square root of 6788 rounded to 2 decimals?

82.39.