Prove that the following are irrational 7 root 5

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Prove that 7 root 5 is irrational number​

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Answer:

Let us assum that 7root5 is an irrational number ,say r

7root5=r

root5=r/7

Therefore r and 7 are rational number

r/7 is a rational number

This show that

root5 is rational number

But we know that root5 is an irrational number

Therefore our assumption was wrong

Hence 7root5 is an irrational number


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