#2**+10 **

Why can't I take (-1)^1/2

lets think about this.

This means

\(\sqrt{-1}\)

Now

\(\sqrt{25}=5\\ because\;\; 5*5 = 25\\ so\\ think\;\;about\;\; \sqrt{any\;negative\;number} \)

a positive * a positive = a positive

a negative * a negative = a positive

Mmm

you cannot multiply any real number by itself and get a negative answer. That is impossible !!

So

\(\sqrt{-1}\)

has no real solution!!!

That is why you cannot do it!!

\(\sqrt{-1}\)

is the basis of the imaginary number system. It is called i (or sometimes j)

\(i=\sqrt{-1}\)

Melody
Nov 4, 2015

#2**+10 **

Best Answer

Why can't I take (-1)^1/2

lets think about this.

This means

\(\sqrt{-1}\)

Now

\(\sqrt{25}=5\\ because\;\; 5*5 = 25\\ so\\ think\;\;about\;\; \sqrt{any\;negative\;number} \)

a positive * a positive = a positive

a negative * a negative = a positive

Mmm

you cannot multiply any real number by itself and get a negative answer. That is impossible !!

So

\(\sqrt{-1}\)

has no real solution!!!

That is why you cannot do it!!

\(\sqrt{-1}\)

is the basis of the imaginary number system. It is called i (or sometimes j)

\(i=\sqrt{-1}\)

Melody
Nov 4, 2015