P.T 5+3√2 is an irrational number
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let 5+3 root 2 be an rational no.
so. 5+3 root 2 =a/b ,where b is not equal to 0
Step-by-step explanation:
5+3 root 2 =a/b
3 root 2 = a/b - 5
3 root 2 = a - 5b/b
root 2 = a - 5b / 3b
hence , rhs , root 2 is an irrational number
hence , lhs , (integer) - 5(integer) / 3(integer)
therefore this contradicts our assumption and hence p.t 5+3 root 2 is an irrational number
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