PROVE OR DISPROVE THAT THE PRODUCT OF TWO IRRATIONAL NUMBERS IS IRRATIONAL.

Since y and z are rational , y = a/b and z = m/n because that integers a,b,m,n v a,b and m all no zero

Substitution:

x ( a/b) = m/n

Multiplying by b/a:

x = (m/n)(b/a) = (mb)/(an)

By closure property of integer multiplication , mb and space integers

so then x is the quotient of 2 integers, which renders it rational, a contradiction

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