Square root of 8064

The square root of 8064 is 89.799777 (rounded to 6 decimal places). In simplest radical form it is 24√14.

Square root of 8064

Pick any whole number from 1 to 10,000.

\sqrt{8064} = 24\sqrt{14} \approx 89.799777

How to work it out

1
The square root of 8064 is the number that multiplied by itself gives 8064.
2
8064 is between the perfect squares 89² = 7921 and 90² = 8100, so its square root is between 89 and 90.
3
Pull out the biggest square factor: 8064 = 576 × 14, so
$\sqrt{8064} = \sqrt{576 \times 14} = 24\sqrt{14}$
4
A calculator, or long division of digits, gives
$\sqrt{8064} \approx 89.799777$

LaTeX source of the formulas on this page

\[ \sqrt{8064} = 24\sqrt{14} \approx 89.799777 \]
\[ \sqrt{8064} = \sqrt{576 \times 14} = 24\sqrt{14} \]
\[ \sqrt{8064} \approx 89.799777 \]

What is the square root of 8064?

The square root of 8064 is 89.799777 (rounded to 6 decimal places). In simplest radical form it is 24√14.

Is 8064 a perfect square?

No. It lies between 89² = 7921 and 90² = 8100.

What is 8064 squared?

8064 × 8064 = 65028096.

What is the square root of 8064 rounded to 2 decimals?

89.80.