1.

Given that root 2 is irrational. Show that 5 + root 2 is irrational.

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Answer:

Given: root2 is irrational

Now,let US assume that 5 + root2 is rational

So,

5+root2 = a/b

root2 = a/b-5

Root2 = a-5b/b

This MEANS root 2 is rational.

But we KNOW that root2 is irrational.

So, our assumption was wrong.

Hence, 5+root2 is irrational.

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