Question

State where root 3+ root 2is rational or not. Prove​

Answer 1

Answer:

3+ √2 is irrational.

Step-by-step explanation:

PROOF :

Assume that 3+√2 is rational

now, 3+√2 can be expressed in the form a/b

            i.e.  3+ √2 = a/b

             ⇒  √2= a/b-3

             ⇒√2 = a-3b/b

             ⇒ a-3b/b is rational hence,  √2 is also rational.

this contradicts the fact that √2 is irrational. so, we conclude that 3+√2 is irrational

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