Question

Prove that 3+2√5 is irrational.​

Answer 1

Answer:

Proof is simple

Step-by-step explanation:

Proof is just that we have to proof a prooved question which is just given itself. So the question should be correct and hence it would be irrational

Answer 2

Answer:

Step-by-step explanation:

lets assume that 3+2$\sqrt[]{5}$ is rational..

∴ It can be written as "a" ( Where "a" is any +ve integer)

   3+2$\sqrt[]{5}$ = a

      2$\sqrt[]{5}$ = a-3

         $\sqrt[]{5}$ = $\frac{a-3}{2}$

 We all know that $\sqrt[]{5}$ is irrational

  But the RHS is rational.... An Irrational number can not be equal to a rational no....

∴ It contrdicts the fact that 3+2$\sqrt[]{5}$ is rational..

  Our assumption was wrong..

∴ 3+2$\sqrt[]{5}$  is irrational....

  Hence proved.

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