Question

check whether 6-√5 is rational or irrational


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Answer 1

Answer:

solution

suppose 6-√5 is rational number.

so . any rational number can be written in the form of p/q where. q not = to 0

so,6-√5=p/q. (1)

6-√5=p/q

6-p/q =√5

6q-p=√5

hence we can be see that L.H.S is form of a/b

which is rational but R.H.S is √5 which is irrational which is not possible.

so, our contradication is wrong

6-√5 is rational number

proved