Prove that root,5, root 2, root 3 and root 7. are irrational
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Answer:according to (1), root 21 is a rational number. However, we know that it is an irrational number. Since, our above outcome was wrong, we can say that our first assumption i.e, 5 root 3 - 2 root 7 to be a rational number is false. Hence, 5 root 3 - 2 root 7 is an irrational number.
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