Question

prove that under root 5 -under rrot 3is not a rational number vlass 9

Answer 1

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Answer 2

Answer:

Let, r be the rational no.

and root 5 - root 3 be r

Here, r in RHS is rational no.

Therefore, r+ root 3 is also rational.

LHS is not equal to RHS.

LHS is a irrational no.

But, in RHS , also root 3 is irrational, which tells that our consideration was wrong.

Hence, root 5 - root 3 is a irrational number.

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