3. Prove that the 7 root 5 is irrational
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Step-by-step explanation:
Let us assume that 7√5 is rational number
Hence, 7√5 can be written in the form of a/b where a, b(b not equal to 0) are co-prime
7√5 = a/b
√5 = a/7b
here √5 is irrational and a/7b is rational
as Rational=Irrational
Therefore, 7√5 is irrational
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Answer:
Because a,b,are 7 integers 7b-ab is rational, implying that √5 is rational. But this contradicts with the fact that √5 is irrational. The contradiction is because of the incorrect assumption that 7-√5 is rational.;We can conclude that 7-√5 is irrational.
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