Square root of 9520

The square root of 9520 is 97.570487 (rounded to 6 decimal places). In simplest radical form it is 4√595.

Square root of 9520

Pick any whole number from 1 to 10,000.

\sqrt{9520} = 4\sqrt{595} \approx 97.570487

How to work it out

1
The square root of 9520 is the number that multiplied by itself gives 9520.
2
9520 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: 9520 = 16 × 595, so
$\sqrt{9520} = \sqrt{16 \times 595} = 4\sqrt{595}$
4
A calculator, or long division of digits, gives
$\sqrt{9520} \approx 97.570487$

LaTeX source of the formulas on this page

\[ \sqrt{9520} = 4\sqrt{595} \approx 97.570487 \]
\[ \sqrt{9520} = \sqrt{16 \times 595} = 4\sqrt{595} \]
\[ \sqrt{9520} \approx 97.570487 \]

What is the square root of 9520?

The square root of 9520 is 97.570487 (rounded to 6 decimal places). In simplest radical form it is 4√595.

Is 9520 a perfect square?

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

What is 9520 squared?

9520 × 9520 = 90630400.

What is the square root of 9520 rounded to 2 decimals?

97.57.