Square root of 5196

The square root of 5196 is 72.083285 (rounded to 6 decimal places). In simplest radical form it is 2√1299.

Square root of 5196

Pick any whole number from 1 to 10,000.

\sqrt{5196} = 2\sqrt{1299} \approx 72.083285

How to work it out

1
The square root of 5196 is the number that multiplied by itself gives 5196.
2
5196 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: 5196 = 4 × 1299, so
$\sqrt{5196} = \sqrt{4 \times 1299} = 2\sqrt{1299}$
4
A calculator, or long division of digits, gives
$\sqrt{5196} \approx 72.083285$

LaTeX source of the formulas on this page

\[ \sqrt{5196} = 2\sqrt{1299} \approx 72.083285 \]
\[ \sqrt{5196} = \sqrt{4 \times 1299} = 2\sqrt{1299} \]
\[ \sqrt{5196} \approx 72.083285 \]

What is the square root of 5196?

The square root of 5196 is 72.083285 (rounded to 6 decimal places). In simplest radical form it is 2√1299.

Is 5196 a perfect square?

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

What is 5196 squared?

5196 × 5196 = 26998416.

What is the square root of 5196 rounded to 2 decimals?

72.08.