33) prove that 5-√ 5 is an irrational number,
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1
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→ Yes, it is irrational. The proof of the question is= let us assume that 5 -√5 is rational.
→ 5 - √5=p/q, where p and q are integers and q is not equal to 0.
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Answer:
since -√5 is irrational
there fore 5 -√5 is also irrational
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