Question

Show 7-√5 irrational where √5is irrational

Answer 1

Answer:

Step-by-step explanation:

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Let , 7-root5 is a rational no. is equals to r, where r is a rational no.

So,

7-root 5 = r

7-r = root 5.

Now,

LHS is a rational but RHS is an irrational.

So, our assumption was wrong; 7-root5 is not a rational no.

Therefore, 7-root5 is a irrational no.

Hence, proved.

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