Question

What is the expression in simplest radical form?√432

Answer 1

ANSWER :

12√3

EXPLANATION :

From the problem, we have the radical expression :

$\sqrt{432}$

We need to factor 432 in which one of the factors is a perfect square.

Note that 432 is 3 x 144

and 144 is a perfect square.

Then :

$\sqrt{432}=\sqrt{3\times144}$

Extracting the root of 144 which is 12 since 12 x 12 = 144.

$\sqrt{3\times144}=12\sqrt{3}$