Square root of 9496

The square root of 9496 is 97.447422 (rounded to 6 decimal places). In simplest radical form it is 2√2374.

Square root of 9496

Pick any whole number from 1 to 10,000.

\sqrt{9496} = 2\sqrt{2374} \approx 97.447422

How to work it out

1
The square root of 9496 is the number that multiplied by itself gives 9496.
2
9496 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: 9496 = 4 × 2374, so
$\sqrt{9496} = \sqrt{4 \times 2374} = 2\sqrt{2374}$
4
A calculator, or long division of digits, gives
$\sqrt{9496} \approx 97.447422$

LaTeX source of the formulas on this page

\[ \sqrt{9496} = 2\sqrt{2374} \approx 97.447422 \]
\[ \sqrt{9496} = \sqrt{4 \times 2374} = 2\sqrt{2374} \]
\[ \sqrt{9496} \approx 97.447422 \]

What is the square root of 9496?

The square root of 9496 is 97.447422 (rounded to 6 decimal places). In simplest radical form it is 2√2374.

Is 9496 a perfect square?

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

What is 9496 squared?

9496 × 9496 = 90174016.

What is the square root of 9496 rounded to 2 decimals?

97.45.