Square root of 9504

The square root of 9504 is 97.488461 (rounded to 6 decimal places). In simplest radical form it is 12√66.

Square root of 9504

Pick any whole number from 1 to 10,000.

\sqrt{9504} = 12\sqrt{66} \approx 97.488461

How to work it out

1
The square root of 9504 is the number that multiplied by itself gives 9504.
2
9504 is between the perfect squares 97² = 9409 and 98² = 9604, so its square root is between 97 and 98.
3
Pull out the biggest square factor: 9504 = 144 × 66, so
$\sqrt{9504} = \sqrt{144 \times 66} = 12\sqrt{66}$
4
A calculator, or long division of digits, gives
$\sqrt{9504} \approx 97.488461$

LaTeX source of the formulas on this page

\[ \sqrt{9504} = 12\sqrt{66} \approx 97.488461 \]
\[ \sqrt{9504} = \sqrt{144 \times 66} = 12\sqrt{66} \]
\[ \sqrt{9504} \approx 97.488461 \]

What is the square root of 9504?

The square root of 9504 is 97.488461 (rounded to 6 decimal places). In simplest radical form it is 12√66.

Is 9504 a perfect square?

No. It lies between 97² = 9409 and 98² = 9604.

What is 9504 squared?

9504 × 9504 = 90326016.

What is the square root of 9504 rounded to 2 decimals?

97.49.