Answer:
The complex number is B, [tex]3\sqrt{\frac{7}{5}}+\sqrt{-\frac{9}{5}}[/tex]
Step-by-step explanation:
A complex number should be written in the form [tex]a+bi[/tex], where a and b are real numbers, and i is an imaginary number.
Recall that [tex]\sqrt{-1}=i[/tex]. Since letter B has the second term [tex]\sqrt{-\frac{9}{5}}[/tex], we can say
[tex]\sqrt{-\frac{9}{5}}=\sqrt{-1\cdot\frac{9}{5}}=i\sqrt{\frac{9}{5}}[/tex]
Therefore, the number can be written as
[tex]3\sqrt{\frac{7}{5}}+i\sqrt{\frac{9}{5}}[/tex].
