Square root of 432

The square root of 432 is 20.78461 (rounded to 6 decimal places). In simplest radical form it is 12√3.

Square root of 432

Pick any whole number from 1 to 10,000.

\sqrt{432} = 12\sqrt{3} \approx 20.78461

How to work it out

1
The square root of 432 is the number that multiplied by itself gives 432.
2
432 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: 432 = 144 × 3, so
$\sqrt{432} = \sqrt{144 \times 3} = 12\sqrt{3}$
4
A calculator, or long division of digits, gives
$\sqrt{432} \approx 20.78461$

LaTeX source of the formulas on this page

\[ \sqrt{432} = 12\sqrt{3} \approx 20.78461 \]
\[ \sqrt{432} = \sqrt{144 \times 3} = 12\sqrt{3} \]
\[ \sqrt{432} \approx 20.78461 \]

What is the square root of 432?

The square root of 432 is 20.78461 (rounded to 6 decimal places). In simplest radical form it is 12√3.

Is 432 a perfect square?

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

What is 432 squared?

432 × 432 = 186624.

What is the square root of 432 rounded to 2 decimals?

20.78.