Square root of 6958

The square root of 6958 is 83.414627 (rounded to 6 decimal places). In simplest radical form it is 7√142.

Square root of 6958

Pick any whole number from 1 to 10,000.

\sqrt{6958} = 7\sqrt{142} \approx 83.414627

How to work it out

1
The square root of 6958 is the number that multiplied by itself gives 6958.
2
6958 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: 6958 = 49 × 142, so
$\sqrt{6958} = \sqrt{49 \times 142} = 7\sqrt{142}$
4
A calculator, or long division of digits, gives
$\sqrt{6958} \approx 83.414627$

LaTeX source of the formulas on this page

\[ \sqrt{6958} = 7\sqrt{142} \approx 83.414627 \]
\[ \sqrt{6958} = \sqrt{49 \times 142} = 7\sqrt{142} \]
\[ \sqrt{6958} \approx 83.414627 \]

What is the square root of 6958?

The square root of 6958 is 83.414627 (rounded to 6 decimal places). In simplest radical form it is 7√142.

Is 6958 a perfect square?

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

What is 6958 squared?

6958 × 6958 = 48413764.

What is the square root of 6958 rounded to 2 decimals?

83.41.