Step-by-step explanation:
[tex] \sqrt{ - 144} = \sqrt{144 \times ( - 1)} \\ = \sqrt{144} \times \sqrt{ - 1} \\ = 12 \times i.. (\because i^2 =-1)\\ = 12i \\ \\ \therefore \: \sqrt{ - 144} = 12i[/tex]
Answer:
[tex]=12*i[/tex]
Step-by-step explanation:
Given: [tex]\sqrt{-144}[/tex]
The square root of some negative value can be find by splitting it in the way given below:
[tex]\sqrt{-144}= \sqrt{144*(-1)}[/tex]
[tex]=\sqrt{144} *\sqrt{-1}[/tex] as,
[tex]\sqrt{144}=12 \\\sqrt{-1}=i[/tex]
[tex]\sqrt{-144}[/tex] [tex]=12*i[/tex]
