Square root of 6964

The square root of 6964 is 83.450584 (rounded to 6 decimal places). In simplest radical form it is 2√1741.

Square root of 6964

Pick any whole number from 1 to 10,000.

\sqrt{6964} = 2\sqrt{1741} \approx 83.450584

How to work it out

1
The square root of 6964 is the number that multiplied by itself gives 6964.
2
6964 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: 6964 = 4 × 1741, so
$\sqrt{6964} = \sqrt{4 \times 1741} = 2\sqrt{1741}$
4
A calculator, or long division of digits, gives
$\sqrt{6964} \approx 83.450584$

LaTeX source of the formulas on this page

\[ \sqrt{6964} = 2\sqrt{1741} \approx 83.450584 \]
\[ \sqrt{6964} = \sqrt{4 \times 1741} = 2\sqrt{1741} \]
\[ \sqrt{6964} \approx 83.450584 \]

What is the square root of 6964?

The square root of 6964 is 83.450584 (rounded to 6 decimal places). In simplest radical form it is 2√1741.

Is 6964 a perfect square?

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

What is 6964 squared?

6964 × 6964 = 48497296.

What is the square root of 6964 rounded to 2 decimals?

83.45.