12) Classify (V) (2) as rational or irrational and explain your reasoning
B)
Suppose an itational times a nonzero rational rational then irrational
rational
This means ùrational - rational Thus the irrational number
rational
times the rational number 2 equals 2 V3 which is both rational and
irrational
Suppose an irrational times a nonzero rational rational, then irrational
rational
This means irrational rational, which is a contradiction. Thus
rational
the irrational number V3 times the rational number 2 equals the rational
number 23
Suppose an irrational times a nonzero rational - rational, then irrational
rational
This means irrational - rational, which is a contradiction. Thus
rational
the irrational number V3 times the rational number 2 equals the
irrational number 2 2
Suppose an irrational times a nonzero rational rational, then irrational
rational
This means irrational - rational, which is a contradiction. Thus
rational
the irrational number V3 times the rational number 2 equals 2 V3 which
is neither rational nor irrational
D)