Question

prove that 2 - 3root 3 is an irrational
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Answer 1

Answer:

irrational number is the answer for this above question

Answer 2

Answer:

Step-by-step explanation:

let  assume 2-3$\sqrt{3}$ as rational no.

therefore,2-3$\sqrt{3}$ =p/q, where p,q are co-primes & q$\neq$0

now, 2-3$\sqrt{3}$ =p/q

         -3$\sqrt{3}$=p-2q/q  (by taking L.C.M)

       $\sqrt{3}$=  P-2q/-3q (by sross multiplying)

     now alone prove that $\sqrt{3}$ is irrational.

    then, on LHS their will br irrational no.

& at RHS their will be rational no.

so, their arise a contradiction which oppose our assumption.

hence, 2-3$\sqrt{3}$ is irrational no.

I hope that this will help you