Square root of 6996

The square root of 6996 is 83.642095 (rounded to 6 decimal places). In simplest radical form it is 2√1749.

Square root of 6996

Pick any whole number from 1 to 10,000.

\sqrt{6996} = 2\sqrt{1749} \approx 83.642095

How to work it out

1
The square root of 6996 is the number that multiplied by itself gives 6996.
2
6996 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: 6996 = 4 × 1749, so
$\sqrt{6996} = \sqrt{4 \times 1749} = 2\sqrt{1749}$
4
A calculator, or long division of digits, gives
$\sqrt{6996} \approx 83.642095$

LaTeX source of the formulas on this page

\[ \sqrt{6996} = 2\sqrt{1749} \approx 83.642095 \]
\[ \sqrt{6996} = \sqrt{4 \times 1749} = 2\sqrt{1749} \]
\[ \sqrt{6996} \approx 83.642095 \]

What is the square root of 6996?

The square root of 6996 is 83.642095 (rounded to 6 decimal places). In simplest radical form it is 2√1749.

Is 6996 a perfect square?

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

What is 6996 squared?

6996 × 6996 = 48944016.

What is the square root of 6996 rounded to 2 decimals?

83.64.