Question

prove the √2,√3,5√3,√3+√2,5-√3 are irrational numbet​

Answer 1

Answer:

√2=1.414...(which is non terminating and non recurring)

hence, every rational number can be written in the form of p by q.

but root 2 can't be represent in the form p by q

ie,√2 is an irrational number

Answer 2

Answer:

Step-by-step explanation:

first take root 2  , root 3 ,5 root 3 , root3+root 2, 5-root3  is a rational

then we can not prove it is a rational then it becames irrational  number

1) root 2 = p/q

   square on both sides

    root 2 square  = p/q square

root and square cancled

     2 = p/q square

  2/1 = p/q square

  = p/2q square

   rational form is  p/q and q not equal to 0

   so all are irrational numbers