Square root of 9008

The square root of 9008 is 94.910484 (rounded to 6 decimal places). In simplest radical form it is 4√563.

Square root of 9008

Pick any whole number from 1 to 10,000.

\sqrt{9008} = 4\sqrt{563} \approx 94.910484

How to work it out

1
The square root of 9008 is the number that multiplied by itself gives 9008.
2
9008 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: 9008 = 16 × 563, so
$\sqrt{9008} = \sqrt{16 \times 563} = 4\sqrt{563}$
4
A calculator, or long division of digits, gives
$\sqrt{9008} \approx 94.910484$

LaTeX source of the formulas on this page

\[ \sqrt{9008} = 4\sqrt{563} \approx 94.910484 \]
\[ \sqrt{9008} = \sqrt{16 \times 563} = 4\sqrt{563} \]
\[ \sqrt{9008} \approx 94.910484 \]

What is the square root of 9008?

The square root of 9008 is 94.910484 (rounded to 6 decimal places). In simplest radical form it is 4√563.

Is 9008 a perfect square?

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

What is 9008 squared?

9008 × 9008 = 81144064.

What is the square root of 9008 rounded to 2 decimals?

94.91.