Can you please explain how to do this and give me the answer so next time I know how to do it. Square root with -15 in it and square root with -4 in it Simplify using i

Respuesta :

Answer:

15i and 4i

Step-by-step explanation:

i is an imaginary number also shown as[tex]\sqrt{-1}[/tex] .  

Since we have [tex]\sqrt{-15}[/tex], thats 15*[tex]\sqrt{-1}[/tex] .  Substitute [tex]\sqrt{-1}[/tex] for i and we get 15*i or 15i.

We do the same for [tex]\sqrt{-4}[/tex].  This is 4*[tex]\sqrt{-1}[/tex] or 4*i or 4i.

An easy way to do this is to take the negative inside the square root like [tex]\sqrt{-6}[/tex] , take the absolute value -6 absolute value=6 and times it by i.  So now it becomes 6i