Square root of 9456

The square root of 9456 is 97.241966 (rounded to 6 decimal places). In simplest radical form it is 4√591.

Square root of 9456

Pick any whole number from 1 to 10,000.

\sqrt{9456} = 4\sqrt{591} \approx 97.241966

How to work it out

1
The square root of 9456 is the number that multiplied by itself gives 9456.
2
9456 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: 9456 = 16 × 591, so
$\sqrt{9456} = \sqrt{16 \times 591} = 4\sqrt{591}$
4
A calculator, or long division of digits, gives
$\sqrt{9456} \approx 97.241966$

LaTeX source of the formulas on this page

\[ \sqrt{9456} = 4\sqrt{591} \approx 97.241966 \]
\[ \sqrt{9456} = \sqrt{16 \times 591} = 4\sqrt{591} \]
\[ \sqrt{9456} \approx 97.241966 \]

What is the square root of 9456?

The square root of 9456 is 97.241966 (rounded to 6 decimal places). In simplest radical form it is 4√591.

Is 9456 a perfect square?

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

What is 9456 squared?

9456 × 9456 = 89415936.

What is the square root of 9456 rounded to 2 decimals?

97.24.