SOLUTION: why 2√2 is in simplest form but √8 is not in simplest form.

Algebra ->  Decimal-numbers -> SOLUTION: why 2√2 is in simplest form but √8 is not in simplest form.       Log On


   



Question 199931This question is from textbook
: why 2√2 is in simplest form but √8 is not in simplest form.
This question is from textbook

Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
why 2√2 is in simplest form but √8 is not in simplest form.
-----------------------
8 can be factored into 4 times 2, the the sqrt(4) removed from the radical. No further reduction of sqrt(2) is possible.
This can make a difference when the term is part of a more complex expression, for example:
sqrt(12)/sqrt(8)
By "simplifying" further, you get 2sqrt(3)/2sqrt(2) = sqrt(3)/sqrt(2).