Square root of 5193

The square root of 5193 is 72.062473 (rounded to 6 decimal places). In simplest radical form it is 3√577.

Square root of 5193

Pick any whole number from 1 to 10,000.

\sqrt{5193} = 3\sqrt{577} \approx 72.062473

How to work it out

1
The square root of 5193 is the number that multiplied by itself gives 5193.
2
5193 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: 5193 = 9 × 577, so
$\sqrt{5193} = \sqrt{9 \times 577} = 3\sqrt{577}$
4
A calculator, or long division of digits, gives
$\sqrt{5193} \approx 72.062473$

LaTeX source of the formulas on this page

\[ \sqrt{5193} = 3\sqrt{577} \approx 72.062473 \]
\[ \sqrt{5193} = \sqrt{9 \times 577} = 3\sqrt{577} \]
\[ \sqrt{5193} \approx 72.062473 \]

What is the square root of 5193?

The square root of 5193 is 72.062473 (rounded to 6 decimal places). In simplest radical form it is 3√577.

Is 5193 a perfect square?

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

What is 5193 squared?

5193 × 5193 = 26967249.

What is the square root of 5193 rounded to 2 decimals?

72.06.