Square root of 7488

The square root of 7488 is 86.533231 (rounded to 6 decimal places). In simplest radical form it is 24√13.

Square root of 7488

Pick any whole number from 1 to 10,000.

\sqrt{7488} = 24\sqrt{13} \approx 86.533231

How to work it out

1
The square root of 7488 is the number that multiplied by itself gives 7488.
2
7488 is between the perfect squares 86² = 7396 and 87² = 7569, so its square root is between 86 and 87.
3
Pull out the biggest square factor: 7488 = 576 × 13, so
$\sqrt{7488} = \sqrt{576 \times 13} = 24\sqrt{13}$
4
A calculator, or long division of digits, gives
$\sqrt{7488} \approx 86.533231$

LaTeX source of the formulas on this page

\[ \sqrt{7488} = 24\sqrt{13} \approx 86.533231 \]
\[ \sqrt{7488} = \sqrt{576 \times 13} = 24\sqrt{13} \]
\[ \sqrt{7488} \approx 86.533231 \]

What is the square root of 7488?

The square root of 7488 is 86.533231 (rounded to 6 decimal places). In simplest radical form it is 24√13.

Is 7488 a perfect square?

No. It lies between 86² = 7396 and 87² = 7569.

What is 7488 squared?

7488 × 7488 = 56070144.

What is the square root of 7488 rounded to 2 decimals?

86.53.