Question

which of the following is equivalent to the expression (i √5) 3, which shows that the associative property of multiplication holds true for complex numbers? (1 point)
o 3i√5
o i√15
o i (√5 3)
o 15i

Explanation:

Step1: Recall the associative property of multiplication

The associative property of multiplication for complex - numbers states that \((a\times b)\times c=a\times(b\times c)\). Given the expression \((i\cdot\sqrt{5})\cdot3\), by the associative property of multiplication, it is equivalent to \(i\cdot(\sqrt{5}\cdot3)\).

Answer:

\(i\cdot(\sqrt{5}\cdot3)\)