Square root of 9440

The square root of 9440 is 97.159662 (rounded to 6 decimal places). In simplest radical form it is 4√590.

Square root of 9440

Pick any whole number from 1 to 10,000.

\sqrt{9440} = 4\sqrt{590} \approx 97.159662

How to work it out

1
The square root of 9440 is the number that multiplied by itself gives 9440.
2
9440 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: 9440 = 16 × 590, so
$\sqrt{9440} = \sqrt{16 \times 590} = 4\sqrt{590}$
4
A calculator, or long division of digits, gives
$\sqrt{9440} \approx 97.159662$

LaTeX source of the formulas on this page

\[ \sqrt{9440} = 4\sqrt{590} \approx 97.159662 \]
\[ \sqrt{9440} = \sqrt{16 \times 590} = 4\sqrt{590} \]
\[ \sqrt{9440} \approx 97.159662 \]

What is the square root of 9440?

The square root of 9440 is 97.159662 (rounded to 6 decimal places). In simplest radical form it is 4√590.

Is 9440 a perfect square?

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

What is 9440 squared?

9440 × 9440 = 89113600.

What is the square root of 9440 rounded to 2 decimals?

97.16.