SOLUTION: I am lost on this problem... radical -50 times radical -2

Algebra ->  Complex Numbers Imaginary Numbers Solvers and Lesson -> SOLUTION: I am lost on this problem... radical -50 times radical -2      Log On


   



Question 42605This question is from textbook
: I am lost on this problem...
radical -50 times radical -2
This question is from textbook

Answer by AnlytcPhil(1810) About Me  (Show Source):
You can put this solution on YOUR website!
I am lost on this problem... 
radical -50 times radical -2
 ___  __
Ö-50 Ö-2

Don't fall for the trap of always multiplying under radicals first.
Don't do that!  Negative numbers under square roots must be taken
out of the radical before multiplying under them:
 ___  __      __    _        __  _        ___ 
Ö-50 Ö-2 = (iÖ50)(iÖ2) = i² Ö50 Ö2 = (-1)Ö100 = (-1)(10) = -10 


If you multiply under the radical before taking negative signs
out of square root radicals as i's on the outside, you will get
the wrong answer.

Edwin
AnlytcPhil@aol.com