Square root of 5236

The square root of 5236 is 72.36021 (rounded to 6 decimal places). In simplest radical form it is 2√1309.

Square root of 5236

Pick any whole number from 1 to 10,000.

\sqrt{5236} = 2\sqrt{1309} \approx 72.36021

How to work it out

1
The square root of 5236 is the number that multiplied by itself gives 5236.
2
5236 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: 5236 = 4 × 1309, so
$\sqrt{5236} = \sqrt{4 \times 1309} = 2\sqrt{1309}$
4
A calculator, or long division of digits, gives
$\sqrt{5236} \approx 72.36021$

LaTeX source of the formulas on this page

\[ \sqrt{5236} = 2\sqrt{1309} \approx 72.36021 \]
\[ \sqrt{5236} = \sqrt{4 \times 1309} = 2\sqrt{1309} \]
\[ \sqrt{5236} \approx 72.36021 \]

What is the square root of 5236?

The square root of 5236 is 72.36021 (rounded to 6 decimal places). In simplest radical form it is 2√1309.

Is 5236 a perfect square?

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

What is 5236 squared?

5236 × 5236 = 27415696.

What is the square root of 5236 rounded to 2 decimals?

72.36.