Question

Prove that 3 root5 is irrational

Answer 1

Heya ✋

Let see your answer !!!!

Let 3√5 is a rational number.

p/q = 3√5

=> p/3q = √5

=> Rational number = Irrational number

Hence , 3√5 is an irrational number.







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Answer 2

Lets assume that 3root5 is rational ,
      3root 5=p/q
       root5=p/3q
Since p/3q is rational root 5 is also rational.
But root 5 is irrational
Thus our assumption that root 5 is rational is wrong
 So root 5 is irrational