Square root of 5284

The square root of 5284 is 72.691127 (rounded to 6 decimal places). In simplest radical form it is 2√1321.

Square root of 5284

Pick any whole number from 1 to 10,000.

\sqrt{5284} = 2\sqrt{1321} \approx 72.691127

How to work it out

1
The square root of 5284 is the number that multiplied by itself gives 5284.
2
5284 is between the perfect squares 72² = 5184 and 73² = 5329, so its square root is between 72 and 73.
3
Pull out the biggest square factor: 5284 = 4 × 1321, so
$\sqrt{5284} = \sqrt{4 \times 1321} = 2\sqrt{1321}$
4
A calculator, or long division of digits, gives
$\sqrt{5284} \approx 72.691127$

LaTeX source of the formulas on this page

\[ \sqrt{5284} = 2\sqrt{1321} \approx 72.691127 \]
\[ \sqrt{5284} = \sqrt{4 \times 1321} = 2\sqrt{1321} \]
\[ \sqrt{5284} \approx 72.691127 \]

What is the square root of 5284?

The square root of 5284 is 72.691127 (rounded to 6 decimal places). In simplest radical form it is 2√1321.

Is 5284 a perfect square?

No. It lies between 72² = 5184 and 73² = 5329.

What is 5284 squared?

5284 × 5284 = 27920656.

What is the square root of 5284 rounded to 2 decimals?

72.69.