Square root of 6976

The square root of 6976 is 83.522452 (rounded to 6 decimal places). In simplest radical form it is 8√109.

Square root of 6976

Pick any whole number from 1 to 10,000.

\sqrt{6976} = 8\sqrt{109} \approx 83.522452

How to work it out

1
The square root of 6976 is the number that multiplied by itself gives 6976.
2
6976 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: 6976 = 64 × 109, so
$\sqrt{6976} = \sqrt{64 \times 109} = 8\sqrt{109}$
4
A calculator, or long division of digits, gives
$\sqrt{6976} \approx 83.522452$

LaTeX source of the formulas on this page

\[ \sqrt{6976} = 8\sqrt{109} \approx 83.522452 \]
\[ \sqrt{6976} = \sqrt{64 \times 109} = 8\sqrt{109} \]
\[ \sqrt{6976} \approx 83.522452 \]

What is the square root of 6976?

The square root of 6976 is 83.522452 (rounded to 6 decimal places). In simplest radical form it is 8√109.

Is 6976 a perfect square?

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

What is 6976 squared?

6976 × 6976 = 48664576.

What is the square root of 6976 rounded to 2 decimals?

83.52.