prove by the method of contradiction ,
" P:√4 is irrational "
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let us consume that √4is rational then there exist two factors which are co prime ie hcf =1
√4=a/b
4=a2/b2
a2=4b2
hence 4 is a factor of a
let a = 4c
a2=16c2
b2=4c2
Step-by-step explanation:
hence 4 is a factor of b also
hence our consumption that √4is rational.is wrong
hence √4is irrational
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