Square root of 7389

The square root of 7389 is 85.959293 (rounded to 6 decimal places). In simplest radical form it is 3√821.

Square root of 7389

Pick any whole number from 1 to 10,000.

\sqrt{7389} = 3\sqrt{821} \approx 85.959293

How to work it out

1
The square root of 7389 is the number that multiplied by itself gives 7389.
2
7389 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: 7389 = 9 × 821, so
$\sqrt{7389} = \sqrt{9 \times 821} = 3\sqrt{821}$
4
A calculator, or long division of digits, gives
$\sqrt{7389} \approx 85.959293$

LaTeX source of the formulas on this page

\[ \sqrt{7389} = 3\sqrt{821} \approx 85.959293 \]
\[ \sqrt{7389} = \sqrt{9 \times 821} = 3\sqrt{821} \]
\[ \sqrt{7389} \approx 85.959293 \]

What is the square root of 7389?

The square root of 7389 is 85.959293 (rounded to 6 decimal places). In simplest radical form it is 3√821.

Is 7389 a perfect square?

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

What is 7389 squared?

7389 × 7389 = 54597321.

What is the square root of 7389 rounded to 2 decimals?

85.96.