Answer:
-42
Step-by-step explanation:
given the expression;
(2+√-25)(4-√-100)
Note that √-25 = √-1 * √25
√-100 = √-1 * √100
According to complex number, √-1 = i
√-25 = 5i
√-100 = 10i
The expression becomes
(2+5i)(4-10i)
Open the parentehsis;
= 2(4)-20i+20i-50i²
= 8-50i²
Since i² = -1
The expression becomes;
8-50i² = 8-50(-1)²
8-50i² = 8-50 = -42
Hence the product of the expression is -42
