Square root of 3008

The square root of 3008 is 54.845237 (rounded to 6 decimal places). In simplest radical form it is 8√47.

Square root of 3008

Pick any whole number from 1 to 10,000.

\sqrt{3008} = 8\sqrt{47} \approx 54.845237

How to work it out

1
The square root of 3008 is the number that multiplied by itself gives 3008.
2
3008 is between the perfect squares 54² = 2916 and 55² = 3025, so its square root is between 54 and 55.
3
Pull out the biggest square factor: 3008 = 64 × 47, so
$\sqrt{3008} = \sqrt{64 \times 47} = 8\sqrt{47}$
4
A calculator, or long division of digits, gives
$\sqrt{3008} \approx 54.845237$

LaTeX source of the formulas on this page

\[ \sqrt{3008} = 8\sqrt{47} \approx 54.845237 \]
\[ \sqrt{3008} = \sqrt{64 \times 47} = 8\sqrt{47} \]
\[ \sqrt{3008} \approx 54.845237 \]

What is the square root of 3008?

The square root of 3008 is 54.845237 (rounded to 6 decimal places). In simplest radical form it is 8√47.

Is 3008 a perfect square?

No. It lies between 54² = 2916 and 55² = 3025.

What is 3008 squared?

3008 × 3008 = 9048064.

What is the square root of 3008 rounded to 2 decimals?

54.85.