Answer :

Certainly! To simplify the expression [tex]\( \sqrt[3]{32} \)[/tex]:

1. Understanding the Cube Root:
The expression [tex]\( \sqrt[3]{32} \)[/tex] represents the cube root of 32, which means we are looking for a number [tex]\( x \)[/tex] such that [tex]\( x^3 = 32 \)[/tex].

2. Finding the Simplified Value:
To determine this value, we calculate [tex]\( 32^{1/3} \)[/tex].

3. Result:
The cube root of 32 simplifies approximately to [tex]\( 3.1748021039363987 \)[/tex].

So, the simplified form of [tex]\( \sqrt[3]{32} \)[/tex] is approximately [tex]\( 3.1748021039363987 \)[/tex].