Square root of 6064

The square root of 6064 is 77.871689 (rounded to 6 decimal places). In simplest radical form it is 4√379.

Square root of 6064

Pick any whole number from 1 to 10,000.

\sqrt{6064} = 4\sqrt{379} \approx 77.871689

How to work it out

1
The square root of 6064 is the number that multiplied by itself gives 6064.
2
6064 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: 6064 = 16 × 379, so
$\sqrt{6064} = \sqrt{16 \times 379} = 4\sqrt{379}$
4
A calculator, or long division of digits, gives
$\sqrt{6064} \approx 77.871689$

LaTeX source of the formulas on this page

\[ \sqrt{6064} = 4\sqrt{379} \approx 77.871689 \]
\[ \sqrt{6064} = \sqrt{16 \times 379} = 4\sqrt{379} \]
\[ \sqrt{6064} \approx 77.871689 \]

What is the square root of 6064?

The square root of 6064 is 77.871689 (rounded to 6 decimal places). In simplest radical form it is 4√379.

Is 6064 a perfect square?

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

What is 6064 squared?

6064 × 6064 = 36772096.

What is the square root of 6064 rounded to 2 decimals?

77.87.