a)let a be a positive integer.If square root of a is rational, prove that square root of a is an integer.
b)let r be a rational number and a an integer such that r^n = a .Prove that r is an integer.
PLease help me this one.
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a)let a be a positive integer.If square root of a is rational, prove that square root of a is an integer.
b)let r be a rational number and a an integer such that r^n = a .Prove that r is an integer.
PLease help me this one.
This is proved here:
Quadratic irrational - Wikipedia, the free encyclopedia
LetQuote:
b)let r be a rational number and a an integer such that r^n = a .Prove that r is an integer.
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. So
.