Square root of 6003

The square root of 6003 is 77.479029 (rounded to 6 decimal places). In simplest radical form it is 3√667.

Square root of 6003

Pick any whole number from 1 to 10,000.

\sqrt{6003} = 3\sqrt{667} \approx 77.479029

How to work it out

1
The square root of 6003 is the number that multiplied by itself gives 6003.
2
6003 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: 6003 = 9 × 667, so
$\sqrt{6003} = \sqrt{9 \times 667} = 3\sqrt{667}$
4
A calculator, or long division of digits, gives
$\sqrt{6003} \approx 77.479029$

LaTeX source of the formulas on this page

\[ \sqrt{6003} = 3\sqrt{667} \approx 77.479029 \]
\[ \sqrt{6003} = \sqrt{9 \times 667} = 3\sqrt{667} \]
\[ \sqrt{6003} \approx 77.479029 \]

What is the square root of 6003?

The square root of 6003 is 77.479029 (rounded to 6 decimal places). In simplest radical form it is 3√667.

Is 6003 a perfect square?

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

What is 6003 squared?

6003 × 6003 = 36036009.

What is the square root of 6003 rounded to 2 decimals?

77.48.