Square root of 5301

The square root of 5301 is 72.807967 (rounded to 6 decimal places). In simplest radical form it is 3√589.

Square root of 5301

Pick any whole number from 1 to 10,000.

\sqrt{5301} = 3\sqrt{589} \approx 72.807967

How to work it out

1
The square root of 5301 is the number that multiplied by itself gives 5301.
2
5301 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: 5301 = 9 × 589, so
$\sqrt{5301} = \sqrt{9 \times 589} = 3\sqrt{589}$
4
A calculator, or long division of digits, gives
$\sqrt{5301} \approx 72.807967$

LaTeX source of the formulas on this page

\[ \sqrt{5301} = 3\sqrt{589} \approx 72.807967 \]
\[ \sqrt{5301} = \sqrt{9 \times 589} = 3\sqrt{589} \]
\[ \sqrt{5301} \approx 72.807967 \]

What is the square root of 5301?

The square root of 5301 is 72.807967 (rounded to 6 decimal places). In simplest radical form it is 3√589.

Is 5301 a perfect square?

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

What is 5301 squared?

5301 × 5301 = 28100601.

What is the square root of 5301 rounded to 2 decimals?

72.81.