which of the following is equivalent to 18-√-25
A) 18 – 5i
B) 23
C) 5i
D) 18 +5i
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Answer: A) 18 – 5i
Explanation:
Given number is in Complex form 18-√-25 to simplify this expression
for simplification divide the complex number into two parts (real and imaginary number).
given expression “18” is real number and “√-25” is imaginary number
To solve the square root of √-25
18 – √-25 = 18 – √25(-1)
18 -√25 (√-1) = 18 – 5(√-1)
For imaginary numbers, √-1 = i. Using that relation, simplify the expression is 18 – 5i
Hence, the answer option A) 18-5i