Square root of 4064

The square root of 4064 is 63.74951 (rounded to 6 decimal places). In simplest radical form it is 4√254.

Square root of 4064

Pick any whole number from 1 to 10,000.

\sqrt{4064} = 4\sqrt{254} \approx 63.74951

How to work it out

1
The square root of 4064 is the number that multiplied by itself gives 4064.
2
4064 is between the perfect squares 63² = 3969 and 64² = 4096, so its square root is between 63 and 64.
3
Pull out the biggest square factor: 4064 = 16 × 254, so
$\sqrt{4064} = \sqrt{16 \times 254} = 4\sqrt{254}$
4
A calculator, or long division of digits, gives
$\sqrt{4064} \approx 63.74951$

LaTeX source of the formulas on this page

\[ \sqrt{4064} = 4\sqrt{254} \approx 63.74951 \]
\[ \sqrt{4064} = \sqrt{16 \times 254} = 4\sqrt{254} \]
\[ \sqrt{4064} \approx 63.74951 \]

What is the square root of 4064?

The square root of 4064 is 63.74951 (rounded to 6 decimal places). In simplest radical form it is 4√254.

Is 4064 a perfect square?

No. It lies between 63² = 3969 and 64² = 4096.

What is 4064 squared?

4064 × 4064 = 16516096.

What is the square root of 4064 rounded to 2 decimals?

63.75.