Square root of 8975

The square root of 8975 is 94.736477 (rounded to 6 decimal places). In simplest radical form it is 5√359.

Square root of 8975

Pick any whole number from 1 to 10,000.

\sqrt{8975} = 5\sqrt{359} \approx 94.736477

How to work it out

1
The square root of 8975 is the number that multiplied by itself gives 8975.
2
8975 is between the perfect squares 94² = 8836 and 95² = 9025, so its square root is between 94 and 95.
3
Pull out the biggest square factor: 8975 = 25 × 359, so
$\sqrt{8975} = \sqrt{25 \times 359} = 5\sqrt{359}$
4
A calculator, or long division of digits, gives
$\sqrt{8975} \approx 94.736477$

LaTeX source of the formulas on this page

\[ \sqrt{8975} = 5\sqrt{359} \approx 94.736477 \]
\[ \sqrt{8975} = \sqrt{25 \times 359} = 5\sqrt{359} \]
\[ \sqrt{8975} \approx 94.736477 \]

What is the square root of 8975?

The square root of 8975 is 94.736477 (rounded to 6 decimal places). In simplest radical form it is 5√359.

Is 8975 a perfect square?

No. It lies between 94² = 8836 and 95² = 9025.

What is 8975 squared?

8975 × 8975 = 80550625.

What is the square root of 8975 rounded to 2 decimals?

94.74.