Square root of 436

The square root of 436 is 20.880613 (rounded to 6 decimal places). In simplest radical form it is 2√109.

Square root of 436

Pick any whole number from 1 to 10,000.

\sqrt{436} = 2\sqrt{109} \approx 20.880613

How to work it out

1
The square root of 436 is the number that multiplied by itself gives 436.
2
436 is between the perfect squares 20² = 400 and 21² = 441, so its square root is between 20 and 21.
3
Pull out the biggest square factor: 436 = 4 × 109, so
$\sqrt{436} = \sqrt{4 \times 109} = 2\sqrt{109}$
4
A calculator, or long division of digits, gives
$\sqrt{436} \approx 20.880613$

LaTeX source of the formulas on this page

\[ \sqrt{436} = 2\sqrt{109} \approx 20.880613 \]
\[ \sqrt{436} = \sqrt{4 \times 109} = 2\sqrt{109} \]
\[ \sqrt{436} \approx 20.880613 \]

What is the square root of 436?

The square root of 436 is 20.880613 (rounded to 6 decimal places). In simplest radical form it is 2√109.

Is 436 a perfect square?

No. It lies between 20² = 400 and 21² = 441.

What is 436 squared?

436 × 436 = 190096.

What is the square root of 436 rounded to 2 decimals?

20.88.