Square root of 6008

The square root of 6008 is 77.51129 (rounded to 6 decimal places). In simplest radical form it is 2√1502.

Square root of 6008

Pick any whole number from 1 to 10,000.

\sqrt{6008} = 2\sqrt{1502} \approx 77.51129

How to work it out

1
The square root of 6008 is the number that multiplied by itself gives 6008.
2
6008 is between the perfect squares 77² = 5929 and 78² = 6084, so its square root is between 77 and 78.
3
Pull out the biggest square factor: 6008 = 4 × 1502, so
$\sqrt{6008} = \sqrt{4 \times 1502} = 2\sqrt{1502}$
4
A calculator, or long division of digits, gives
$\sqrt{6008} \approx 77.51129$

LaTeX source of the formulas on this page

\[ \sqrt{6008} = 2\sqrt{1502} \approx 77.51129 \]
\[ \sqrt{6008} = \sqrt{4 \times 1502} = 2\sqrt{1502} \]
\[ \sqrt{6008} \approx 77.51129 \]

What is the square root of 6008?

The square root of 6008 is 77.51129 (rounded to 6 decimal places). In simplest radical form it is 2√1502.

Is 6008 a perfect square?

No. It lies between 77² = 5929 and 78² = 6084.

What is 6008 squared?

6008 × 6008 = 36096064.

What is the square root of 6008 rounded to 2 decimals?

77.51.