Square root of 9488

The square root of 9488 is 97.406365 (rounded to 6 decimal places). In simplest radical form it is 4√593.

Square root of 9488

Pick any whole number from 1 to 10,000.

\sqrt{9488} = 4\sqrt{593} \approx 97.406365

How to work it out

1
The square root of 9488 is the number that multiplied by itself gives 9488.
2
9488 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: 9488 = 16 × 593, so
$\sqrt{9488} = \sqrt{16 \times 593} = 4\sqrt{593}$
4
A calculator, or long division of digits, gives
$\sqrt{9488} \approx 97.406365$

LaTeX source of the formulas on this page

\[ \sqrt{9488} = 4\sqrt{593} \approx 97.406365 \]
\[ \sqrt{9488} = \sqrt{16 \times 593} = 4\sqrt{593} \]
\[ \sqrt{9488} \approx 97.406365 \]

What is the square root of 9488?

The square root of 9488 is 97.406365 (rounded to 6 decimal places). In simplest radical form it is 4√593.

Is 9488 a perfect square?

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

What is 9488 squared?

9488 × 9488 = 90022144.

What is the square root of 9488 rounded to 2 decimals?

97.41.