Square root of 6852

The square root of 6852 is 82.776808 (rounded to 6 decimal places). In simplest radical form it is 2√1713.

Square root of 6852

Pick any whole number from 1 to 10,000.

\sqrt{6852} = 2\sqrt{1713} \approx 82.776808

How to work it out

1
The square root of 6852 is the number that multiplied by itself gives 6852.
2
6852 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: 6852 = 4 × 1713, so
$\sqrt{6852} = \sqrt{4 \times 1713} = 2\sqrt{1713}$
4
A calculator, or long division of digits, gives
$\sqrt{6852} \approx 82.776808$

LaTeX source of the formulas on this page

\[ \sqrt{6852} = 2\sqrt{1713} \approx 82.776808 \]
\[ \sqrt{6852} = \sqrt{4 \times 1713} = 2\sqrt{1713} \]
\[ \sqrt{6852} \approx 82.776808 \]

What is the square root of 6852?

The square root of 6852 is 82.776808 (rounded to 6 decimal places). In simplest radical form it is 2√1713.

Is 6852 a perfect square?

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

What is 6852 squared?

6852 × 6852 = 46949904.

What is the square root of 6852 rounded to 2 decimals?

82.78.