Square root of 9408

The square root of 9408 is 96.994845 (rounded to 6 decimal places). In simplest radical form it is 56√3.

Square root of 9408

Pick any whole number from 1 to 10,000.

\sqrt{9408} = 56\sqrt{3} \approx 96.994845

How to work it out

1
The square root of 9408 is the number that multiplied by itself gives 9408.
2
9408 is between the perfect squares 96² = 9216 and 97² = 9409, so its square root is between 96 and 97.
3
Pull out the biggest square factor: 9408 = 3136 × 3, so
$\sqrt{9408} = \sqrt{3136 \times 3} = 56\sqrt{3}$
4
A calculator, or long division of digits, gives
$\sqrt{9408} \approx 96.994845$

LaTeX source of the formulas on this page

\[ \sqrt{9408} = 56\sqrt{3} \approx 96.994845 \]
\[ \sqrt{9408} = \sqrt{3136 \times 3} = 56\sqrt{3} \]
\[ \sqrt{9408} \approx 96.994845 \]

What is the square root of 9408?

The square root of 9408 is 96.994845 (rounded to 6 decimal places). In simplest radical form it is 56√3.

Is 9408 a perfect square?

No. It lies between 96² = 9216 and 97² = 9409.

What is 9408 squared?

9408 × 9408 = 88510464.

What is the square root of 9408 rounded to 2 decimals?

96.99.