Square root of 7245

The square root of 7245 is 85.117566 (rounded to 6 decimal places). In simplest radical form it is 3√805.

Square root of 7245

Pick any whole number from 1 to 10,000.

\sqrt{7245} = 3\sqrt{805} \approx 85.117566

How to work it out

1
The square root of 7245 is the number that multiplied by itself gives 7245.
2
7245 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: 7245 = 9 × 805, so
$\sqrt{7245} = \sqrt{9 \times 805} = 3\sqrt{805}$
4
A calculator, or long division of digits, gives
$\sqrt{7245} \approx 85.117566$

LaTeX source of the formulas on this page

\[ \sqrt{7245} = 3\sqrt{805} \approx 85.117566 \]
\[ \sqrt{7245} = \sqrt{9 \times 805} = 3\sqrt{805} \]
\[ \sqrt{7245} \approx 85.117566 \]

What is the square root of 7245?

The square root of 7245 is 85.117566 (rounded to 6 decimal places). In simplest radical form it is 3√805.

Is 7245 a perfect square?

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

What is 7245 squared?

7245 × 7245 = 52490025.

What is the square root of 7245 rounded to 2 decimals?

85.12.