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Q)

How will i prove that R = a,b :a,b belong to N and a=square of b

How will i prove that R = a,b :a,b belong to N and a=square of b is equivalence

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A)
1) reflexive

a=2^0⋅a⇒ aRa

2) symmetric

if a=2^kb then b=2^−ka,b=2−ka, where k;−k∈Z

3) transitive

if a=2^kb and b=2^mcb=2^mc then a=2^(k+m)c where k;m,k+m∈Z
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