Square root of 6960

The square root of 6960 is 83.426614 (rounded to 6 decimal places). In simplest radical form it is 4√435.

Square root of 6960

Pick any whole number from 1 to 10,000.

\sqrt{6960} = 4\sqrt{435} \approx 83.426614

How to work it out

1
The square root of 6960 is the number that multiplied by itself gives 6960.
2
6960 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: 6960 = 16 × 435, so
$\sqrt{6960} = \sqrt{16 \times 435} = 4\sqrt{435}$
4
A calculator, or long division of digits, gives
$\sqrt{6960} \approx 83.426614$

LaTeX source of the formulas on this page

\[ \sqrt{6960} = 4\sqrt{435} \approx 83.426614 \]
\[ \sqrt{6960} = \sqrt{16 \times 435} = 4\sqrt{435} \]
\[ \sqrt{6960} \approx 83.426614 \]

What is the square root of 6960?

The square root of 6960 is 83.426614 (rounded to 6 decimal places). In simplest radical form it is 4√435.

Is 6960 a perfect square?

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

What is 6960 squared?

6960 × 6960 = 48441600.

What is the square root of 6960 rounded to 2 decimals?

83.43.