Let the functional relationship between y and x be given by y = √3√x. What will be the value of y if x = -27?
Solution
Correct Answer: Option C
y = √3√x
⇒ y = √3.√-27
⇒ y = √3.√{27.(-1)}
⇒ y = √3.√(9.3.i²) [∵ i² = -1]
⇒ y = √3.3i.√3
⇒ y = 3i.3 [∵ √3.√3 = 3]
⇒ y = 9i
⇒ y = √3.√-27
⇒ y = √3.√{27.(-1)}
⇒ y = √3.√(9.3.i²) [∵ i² = -1]
⇒ y = √3.3i.√3
⇒ y = 3i.3 [∵ √3.√3 = 3]
⇒ y = 9i
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