Square root of 7248

The square root of 7248 is 85.135187 (rounded to 6 decimal places). In simplest radical form it is 4√453.

Square root of 7248

Pick any whole number from 1 to 10,000.

\sqrt{7248} = 4\sqrt{453} \approx 85.135187

How to work it out

1
The square root of 7248 is the number that multiplied by itself gives 7248.
2
7248 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: 7248 = 16 × 453, so
$\sqrt{7248} = \sqrt{16 \times 453} = 4\sqrt{453}$
4
A calculator, or long division of digits, gives
$\sqrt{7248} \approx 85.135187$

LaTeX source of the formulas on this page

\[ \sqrt{7248} = 4\sqrt{453} \approx 85.135187 \]
\[ \sqrt{7248} = \sqrt{16 \times 453} = 4\sqrt{453} \]
\[ \sqrt{7248} \approx 85.135187 \]

What is the square root of 7248?

The square root of 7248 is 85.135187 (rounded to 6 decimal places). In simplest radical form it is 4√453.

Is 7248 a perfect square?

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

What is 7248 squared?

7248 × 7248 = 52533504.

What is the square root of 7248 rounded to 2 decimals?

85.14.