Square root of 3064

The square root of 3064 is 55.35341 (rounded to 6 decimal places). In simplest radical form it is 2√766.

Square root of 3064

Pick any whole number from 1 to 10,000.

\sqrt{3064} = 2\sqrt{766} \approx 55.35341

How to work it out

1
The square root of 3064 is the number that multiplied by itself gives 3064.
2
3064 is between the perfect squares 55² = 3025 and 56² = 3136, so its square root is between 55 and 56.
3
Pull out the biggest square factor: 3064 = 4 × 766, so
$\sqrt{3064} = \sqrt{4 \times 766} = 2\sqrt{766}$
4
A calculator, or long division of digits, gives
$\sqrt{3064} \approx 55.35341$

LaTeX source of the formulas on this page

\[ \sqrt{3064} = 2\sqrt{766} \approx 55.35341 \]
\[ \sqrt{3064} = \sqrt{4 \times 766} = 2\sqrt{766} \]
\[ \sqrt{3064} \approx 55.35341 \]

What is the square root of 3064?

The square root of 3064 is 55.35341 (rounded to 6 decimal places). In simplest radical form it is 2√766.

Is 3064 a perfect square?

No. It lies between 55² = 3025 and 56² = 3136.

What is 3064 squared?

3064 × 3064 = 9388096.

What is the square root of 3064 rounded to 2 decimals?

55.35.