Square root of 6962

The square root of 6962 is 83.4386 (rounded to 6 decimal places). In simplest radical form it is 59√2.

Square root of 6962

Pick any whole number from 1 to 10,000.

\sqrt{6962} = 59\sqrt{2} \approx 83.4386

How to work it out

1
The square root of 6962 is the number that multiplied by itself gives 6962.
2
6962 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: 6962 = 3481 × 2, so
$\sqrt{6962} = \sqrt{3481 \times 2} = 59\sqrt{2}$
4
A calculator, or long division of digits, gives
$\sqrt{6962} \approx 83.4386$

LaTeX source of the formulas on this page

\[ \sqrt{6962} = 59\sqrt{2} \approx 83.4386 \]
\[ \sqrt{6962} = \sqrt{3481 \times 2} = 59\sqrt{2} \]
\[ \sqrt{6962} \approx 83.4386 \]

What is the square root of 6962?

The square root of 6962 is 83.4386 (rounded to 6 decimal places). In simplest radical form it is 59√2.

Is 6962 a perfect square?

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

What is 6962 squared?

6962 × 6962 = 48469444.

What is the square root of 6962 rounded to 2 decimals?

83.44.