show that 2 root 3 is an irrational number
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root 2 is an irrational number
2.00000000000 divided by 1
root 2 = 1.4142135
so the decimal representation of root 2 is neither terminating nor repeating. hence, it is not a rational number
same root 3 = 1.732050807.....
and the decimal representation of root 3 is neither terminating nor repeating so it is an irrational number
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