Square root of 9248

The square root of 9248 is 96.166522 (rounded to 6 decimal places). In simplest radical form it is 68√2.

Square root of 9248

Pick any whole number from 1 to 10,000.

\sqrt{9248} = 68\sqrt{2} \approx 96.166522

How to work it out

1
The square root of 9248 is the number that multiplied by itself gives 9248.
2
9248 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: 9248 = 4624 × 2, so
$\sqrt{9248} = \sqrt{4624 \times 2} = 68\sqrt{2}$
4
A calculator, or long division of digits, gives
$\sqrt{9248} \approx 96.166522$

LaTeX source of the formulas on this page

\[ \sqrt{9248} = 68\sqrt{2} \approx 96.166522 \]
\[ \sqrt{9248} = \sqrt{4624 \times 2} = 68\sqrt{2} \]
\[ \sqrt{9248} \approx 96.166522 \]

What is the square root of 9248?

The square root of 9248 is 96.166522 (rounded to 6 decimal places). In simplest radical form it is 68√2.

Is 9248 a perfect square?

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

What is 9248 squared?

9248 × 9248 = 85525504.

What is the square root of 9248 rounded to 2 decimals?

96.17.