Step-by-step explanation:
[tex]6 {v}^{2} + 24 = 0 \\ \\ \therefore \: 6 {v}^{2} = - 24 \\ \\ \therefore \: {v}^{2} = \frac{ - 24}{6} \\ \\ \therefore \: {v}^{2} = - 4
\\ \\ \therefore \: {v}^{2} = 4\times - 1
\\ \\ \therefore \: {v} =\pm \sqrt {4} \times \sqrt{- 1}
\\ \\ \therefore \: {v} =\pm 2 \times i
\\ \\ \therefore \: {v} = \pm \sqrt{2} i[/tex]
