Square root of 6952

The square root of 6952 is 83.378654 (rounded to 6 decimal places). In simplest radical form it is 2√1738.

Square root of 6952

Pick any whole number from 1 to 10,000.

\sqrt{6952} = 2\sqrt{1738} \approx 83.378654

How to work it out

1
The square root of 6952 is the number that multiplied by itself gives 6952.
2
6952 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: 6952 = 4 × 1738, so
$\sqrt{6952} = \sqrt{4 \times 1738} = 2\sqrt{1738}$
4
A calculator, or long division of digits, gives
$\sqrt{6952} \approx 83.378654$

LaTeX source of the formulas on this page

\[ \sqrt{6952} = 2\sqrt{1738} \approx 83.378654 \]
\[ \sqrt{6952} = \sqrt{4 \times 1738} = 2\sqrt{1738} \]
\[ \sqrt{6952} \approx 83.378654 \]

What is the square root of 6952?

The square root of 6952 is 83.378654 (rounded to 6 decimal places). In simplest radical form it is 2√1738.

Is 6952 a perfect square?

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

What is 6952 squared?

6952 × 6952 = 48330304.

What is the square root of 6952 rounded to 2 decimals?

83.38.