Square root of 6066

The square root of 6066 is 77.88453 (rounded to 6 decimal places). In simplest radical form it is 3√674.

Square root of 6066

Pick any whole number from 1 to 10,000.

\sqrt{6066} = 3\sqrt{674} \approx 77.88453

How to work it out

1
The square root of 6066 is the number that multiplied by itself gives 6066.
2
6066 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: 6066 = 9 × 674, so
$\sqrt{6066} = \sqrt{9 \times 674} = 3\sqrt{674}$
4
A calculator, or long division of digits, gives
$\sqrt{6066} \approx 77.88453$

LaTeX source of the formulas on this page

\[ \sqrt{6066} = 3\sqrt{674} \approx 77.88453 \]
\[ \sqrt{6066} = \sqrt{9 \times 674} = 3\sqrt{674} \]
\[ \sqrt{6066} \approx 77.88453 \]

What is the square root of 6066?

The square root of 6066 is 77.88453 (rounded to 6 decimal places). In simplest radical form it is 3√674.

Is 6066 a perfect square?

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

What is 6066 squared?

6066 × 6066 = 36796356.

What is the square root of 6066 rounded to 2 decimals?

77.88.