I need math help I thought a negative square root number is not a real number, but when I checked in the back of the book it said 5√-32= -2
Most Helpful Girl
thats just life man.1
Most Helpful Guy
A negative mumber cannot have an even numbered root. Remember that neg * neg is always positive. So -2^2 =4 ( that is -2*-2=4) and -2^4=16 (-2*-2*-2*-2=16)
So no matter how hard you try you cannot multiply a negative number by itself an even number of times and end up with a negative number. An odd root works nicely since neg*neg*neg will always be negative. So the 5th root of a negative number is a real number. But because it can't be calculated, the 4th root of a negative number is imaginary, not real.
Hope this helps.1