Square root of 6957

The square root of 6957 is 83.408633 (rounded to 6 decimal places). In simplest radical form it is 3√773.

Square root of 6957

Pick any whole number from 1 to 10,000.

\sqrt{6957} = 3\sqrt{773} \approx 83.408633

How to work it out

1
The square root of 6957 is the number that multiplied by itself gives 6957.
2
6957 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: 6957 = 9 × 773, so
$\sqrt{6957} = \sqrt{9 \times 773} = 3\sqrt{773}$
4
A calculator, or long division of digits, gives
$\sqrt{6957} \approx 83.408633$

LaTeX source of the formulas on this page

\[ \sqrt{6957} = 3\sqrt{773} \approx 83.408633 \]
\[ \sqrt{6957} = \sqrt{9 \times 773} = 3\sqrt{773} \]
\[ \sqrt{6957} \approx 83.408633 \]

What is the square root of 6957?

The square root of 6957 is 83.408633 (rounded to 6 decimal places). In simplest radical form it is 3√773.

Is 6957 a perfect square?

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

What is 6957 squared?

6957 × 6957 = 48399849.

What is the square root of 6957 rounded to 2 decimals?

83.41.