False or true, with m and n in R? If m is a rational no negative number and n an irrational number, then mn is irrational.

Hayley Mcclain

Hayley Mcclain

Answered question

2022-11-12

False or true, with m and ?
If m is a rational no negative number and n an irrational number, then m n is irrational.

Answer & Explanation

kavdawg8w8

kavdawg8w8

Beginner2022-11-13Added 20 answers

The only counter example is if m = 0 then m n = 0 Q .
But if m 0 then m = p q ; p , q Z then if m n = r s ; r , s Z then m n = p q n = r s so n = r s p q Q .

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