Square root of 7064

The square root of 7064 is 84.047606 (rounded to 6 decimal places). In simplest radical form it is 2√1766.

Square root of 7064

Pick any whole number from 1 to 10,000.

\sqrt{7064} = 2\sqrt{1766} \approx 84.047606

How to work it out

1
The square root of 7064 is the number that multiplied by itself gives 7064.
2
7064 is between the perfect squares 84² = 7056 and 85² = 7225, so its square root is between 84 and 85.
3
Pull out the biggest square factor: 7064 = 4 × 1766, so
$\sqrt{7064} = \sqrt{4 \times 1766} = 2\sqrt{1766}$
4
A calculator, or long division of digits, gives
$\sqrt{7064} \approx 84.047606$

LaTeX source of the formulas on this page

\[ \sqrt{7064} = 2\sqrt{1766} \approx 84.047606 \]
\[ \sqrt{7064} = \sqrt{4 \times 1766} = 2\sqrt{1766} \]
\[ \sqrt{7064} \approx 84.047606 \]

What is the square root of 7064?

The square root of 7064 is 84.047606 (rounded to 6 decimal places). In simplest radical form it is 2√1766.

Is 7064 a perfect square?

No. It lies between 84² = 7056 and 85² = 7225.

What is 7064 squared?

7064 × 7064 = 49900096.

What is the square root of 7064 rounded to 2 decimals?

84.05.