Respuesta :
Answer:
[tex]\pm5i[/tex]
Step-by-step explanation:
To express the radical [tex]\pm\sqrt{-25}[/tex] using the imaginary unit, we apply the following:
[tex]\sqrt{-1} =i\\Therefore:\\\pm\sqrt{-25}=\pm\sqrt{-1X25}[/tex]
Since we can express the root of two product as a product of their roots:
[tex]\pm\sqrt{-1X25}=\pm\sqrt{25}X \sqrt{-1}\\=\pm5i[/tex]
The expression in the simplified form should be [tex]\pm 5i[/tex]
Calculation of radical using the imaginary unit:
Since [tex]\sqrt{-1} = 1[/tex]
Therefore,
[tex]\pm \sqrt{-25} = \pm \sqrt{-1\times 25}[/tex]
Here we can express the root of two products like the product of their roots:
[tex]\pm \sqrt{-1\times 25} = \pm \sqrt25 \times \sqrt{-1} \\\\= \pm 5i[/tex]
Learn more about the unit here: https://brainly.com/question/20835334
