On the set Q^(+) of all positive rational number define an operation * on Q^(+)by a*b =(ab)/(2) forall a,b in Q^(+) Show that (i) * is a binary operation on Q^(+)(ii) * is commutative (iii)* is associative Find the identify element in Q^(+) for * Whast is the inverseof a in Q^(+)?

On the set Q^(+) of all positive rational number define an operation *

1.	On the set Q^(+) of all positive rational number define an operation * on Q^(+)by ab =(ab)/(2) forall a,b in Q^(+) Show that (i) is a binary operation on Q^(+)(ii) * is commutative (iii)* is associative Find the identify element in Q^(+) for * Whast is the inverseof a in Q^(+)?
Answer» SOLUTION :`ae=a RARR e=2` `ab=2 rarr(ab)/(2)=2 rarr b=4/a rarr a^(-1) =(4)/(a)`

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On the set Q^(+) of all positive rational number define an operation * on Q^(+)by a*b =(ab)/(2) forall a,b in Q^(+) Show that (i) * is a binary operation on Q^(+)(ii) * is commutative (iii)* is associative Find the identify element in Q^(+) for * Whast is the inverseof a in Q^(+)?

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On the set Q^(+) of all positive rational number define an operation * on Q^(+)by ab =(ab)/(2) forall a,b in Q^(+) Show that (i) is a binary operation on Q^(+)(ii) * is commutative (iii)* is associative Find the identify element in Q^(+) for * Whast is the inverseof a in Q^(+)?