Square root of 5636

The square root of 5636 is 75.073298 (rounded to 6 decimal places). In simplest radical form it is 2√1409.

Square root of 5636

Pick any whole number from 1 to 10,000.

\sqrt{5636} = 2\sqrt{1409} \approx 75.073298

How to work it out

1
The square root of 5636 is the number that multiplied by itself gives 5636.
2
5636 is between the perfect squares 75² = 5625 and 76² = 5776, so its square root is between 75 and 76.
3
Pull out the biggest square factor: 5636 = 4 × 1409, so
$\sqrt{5636} = \sqrt{4 \times 1409} = 2\sqrt{1409}$
4
A calculator, or long division of digits, gives
$\sqrt{5636} \approx 75.073298$

LaTeX source of the formulas on this page

\[ \sqrt{5636} = 2\sqrt{1409} \approx 75.073298 \]
\[ \sqrt{5636} = \sqrt{4 \times 1409} = 2\sqrt{1409} \]
\[ \sqrt{5636} \approx 75.073298 \]

What is the square root of 5636?

The square root of 5636 is 75.073298 (rounded to 6 decimal places). In simplest radical form it is 2√1409.

Is 5636 a perfect square?

No. It lies between 75² = 5625 and 76² = 5776.

What is 5636 squared?

5636 × 5636 = 31764496.

What is the square root of 5636 rounded to 2 decimals?

75.07.