Square root of 6992

The square root of 6992 is 83.61818 (rounded to 6 decimal places). In simplest radical form it is 4√437.

Square root of 6992

Pick any whole number from 1 to 10,000.

\sqrt{6992} = 4\sqrt{437} \approx 83.61818

How to work it out

1
The square root of 6992 is the number that multiplied by itself gives 6992.
2
6992 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: 6992 = 16 × 437, so
$\sqrt{6992} = \sqrt{16 \times 437} = 4\sqrt{437}$
4
A calculator, or long division of digits, gives
$\sqrt{6992} \approx 83.61818$

LaTeX source of the formulas on this page

\[ \sqrt{6992} = 4\sqrt{437} \approx 83.61818 \]
\[ \sqrt{6992} = \sqrt{16 \times 437} = 4\sqrt{437} \]
\[ \sqrt{6992} \approx 83.61818 \]

What is the square root of 6992?

The square root of 6992 is 83.61818 (rounded to 6 decimal places). In simplest radical form it is 4√437.

Is 6992 a perfect square?

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

What is 6992 squared?

6992 × 6992 = 48888064.

What is the square root of 6992 rounded to 2 decimals?

83.62.