Respuesta :

well, the square root of a negaitve number will be an imaginary number
that is, i=√-1

so we can write
[tex]\sqrt{-61}=(\sqrt{-1})(\sqrt{61})=(i)(\sqrt{61})[/tex] [tex] \sim (i)(7.81) \sim 7.8i[/tex]
Hello!
the √(-61) is a complex number √61i

But if you wish to find the value of an irrational and imaginary number, I will give you the approximate answer.

[tex] \sqrt{-61} \to \sqrt{-1*61} \to \sqrt{-1} * \sqrt{61} \to i* \sqrt{61} \to i*7,81024...\: \boxed{\approx 7.8i}[/tex]