Respuesta :

Answer : The square root of -1.44 (√-1.44) is the imaginary number: i1.2

Note : Without the (-) you have 1.2 instead.

Answer:

[tex]\sqrt{-1.44}=1.2i[/tex]

Step-by-step explanation:

Given : Square root of negative real number -1.44

To find : The square root of the number.

Solution :

We know, square root of negative real number is imaginary.

Taking square root of the number i.e, [tex]\sqrt{-1.44}[/tex]

[tex]\sqrt{-1.44}=\sqrt{-1\times 1.44}[/tex]

[tex]\sqrt{-1.44}=\sqrt{-1}\times \sqrt{1.44}[/tex]

[tex]\sqrt{-1.44}=i\times 1.2[/tex]

[tex]\sqrt{-1.44}=1.2i[/tex]

Therefore, The answer is [tex]\sqrt{-1.44}=1.2i[/tex]