Square root of 6896

The square root of 6896 is 83.042158 (rounded to 6 decimal places). In simplest radical form it is 4√431.

Square root of 6896

Pick any whole number from 1 to 10,000.

\sqrt{6896} = 4\sqrt{431} \approx 83.042158

How to work it out

1
The square root of 6896 is the number that multiplied by itself gives 6896.
2
6896 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: 6896 = 16 × 431, so
$\sqrt{6896} = \sqrt{16 \times 431} = 4\sqrt{431}$
4
A calculator, or long division of digits, gives
$\sqrt{6896} \approx 83.042158$

LaTeX source of the formulas on this page

\[ \sqrt{6896} = 4\sqrt{431} \approx 83.042158 \]
\[ \sqrt{6896} = \sqrt{16 \times 431} = 4\sqrt{431} \]
\[ \sqrt{6896} \approx 83.042158 \]

What is the square root of 6896?

The square root of 6896 is 83.042158 (rounded to 6 decimal places). In simplest radical form it is 4√431.

Is 6896 a perfect square?

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

What is 6896 squared?

6896 × 6896 = 47554816.

What is the square root of 6896 rounded to 2 decimals?

83.04.