Square root of 6888

The square root of 6888 is 82.993976 (rounded to 6 decimal places). In simplest radical form it is 2√1722.

Square root of 6888

Pick any whole number from 1 to 10,000.

\sqrt{6888} = 2\sqrt{1722} \approx 82.993976

How to work it out

1
The square root of 6888 is the number that multiplied by itself gives 6888.
2
6888 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: 6888 = 4 × 1722, so
$\sqrt{6888} = \sqrt{4 \times 1722} = 2\sqrt{1722}$
4
A calculator, or long division of digits, gives
$\sqrt{6888} \approx 82.993976$

LaTeX source of the formulas on this page

\[ \sqrt{6888} = 2\sqrt{1722} \approx 82.993976 \]
\[ \sqrt{6888} = \sqrt{4 \times 1722} = 2\sqrt{1722} \]
\[ \sqrt{6888} \approx 82.993976 \]

What is the square root of 6888?

The square root of 6888 is 82.993976 (rounded to 6 decimal places). In simplest radical form it is 2√1722.

Is 6888 a perfect square?

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

What is 6888 squared?

6888 × 6888 = 47444544.

What is the square root of 6888 rounded to 2 decimals?

82.99.