The standard form of the complex number 1 / [ 3 - √(-4)] will be 3/13 + 2/13i so option (B) will be correct.
What is a complex number?
Complex numbers are helpful in finding the square root of negative numbers.
If we solve x² + 1 = 0 ⇒ x = √(-1) which is called as iota(i).
The general form of a complex number is a + ib where the first part a called real and the ib is called imaginary.
Given that number 1 / [ 3 - √(-4)]
1 / [ 3 - √(-4)] = 1 / [ 3 - √(-1)√4]
Since i = √(-1) so
1 / [ 3 - √(-4)] = 1 / [ 3 - 2i ]
By rationalization,
⇒ 1 / [ 3 - 2i ] × (3 + 2i)/(3 + 2i)
⇒ (3 + 2i)/(9 - 6 i²)
⇒ (2/13) + (2/13)i
Hence (2/13) + (2/13) I will be the standard form of the given complex number.
To learn more about complex numbers,
brainly.com/question/10251853
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