Square root of 7392

The square root of 7392 is 85.976741 (rounded to 6 decimal places). In simplest radical form it is 4√462.

Square root of 7392

Pick any whole number from 1 to 10,000.

\sqrt{7392} = 4\sqrt{462} \approx 85.976741

How to work it out

1
The square root of 7392 is the number that multiplied by itself gives 7392.
2
7392 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: 7392 = 16 × 462, so
$\sqrt{7392} = \sqrt{16 \times 462} = 4\sqrt{462}$
4
A calculator, or long division of digits, gives
$\sqrt{7392} \approx 85.976741$

LaTeX source of the formulas on this page

\[ \sqrt{7392} = 4\sqrt{462} \approx 85.976741 \]
\[ \sqrt{7392} = \sqrt{16 \times 462} = 4\sqrt{462} \]
\[ \sqrt{7392} \approx 85.976741 \]

What is the square root of 7392?

The square root of 7392 is 85.976741 (rounded to 6 decimal places). In simplest radical form it is 4√462.

Is 7392 a perfect square?

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

What is 7392 squared?

7392 × 7392 = 54641664.

What is the square root of 7392 rounded to 2 decimals?

85.98.