Square root of 7362

The square root of 7362 is 85.802098 (rounded to 6 decimal places). In simplest radical form it is 3√818.

Square root of 7362

Pick any whole number from 1 to 10,000.

\sqrt{7362} = 3\sqrt{818} \approx 85.802098

How to work it out

1
The square root of 7362 is the number that multiplied by itself gives 7362.
2
7362 is between the perfect squares 85² = 7225 and 86² = 7396, so its square root is between 85 and 86.
3
Pull out the biggest square factor: 7362 = 9 × 818, so
$\sqrt{7362} = \sqrt{9 \times 818} = 3\sqrt{818}$
4
A calculator, or long division of digits, gives
$\sqrt{7362} \approx 85.802098$

LaTeX source of the formulas on this page

\[ \sqrt{7362} = 3\sqrt{818} \approx 85.802098 \]
\[ \sqrt{7362} = \sqrt{9 \times 818} = 3\sqrt{818} \]
\[ \sqrt{7362} \approx 85.802098 \]

What is the square root of 7362?

The square root of 7362 is 85.802098 (rounded to 6 decimal places). In simplest radical form it is 3√818.

Is 7362 a perfect square?

No. It lies between 85² = 7225 and 86² = 7396.

What is 7362 squared?

7362 × 7362 = 54199044.

What is the square root of 7362 rounded to 2 decimals?

85.80.