Question

prove that the following are irrational . 1/ √ 2​

Answer 1

Answer:

Yes , This is an irrational no.

Step-by-step explanation:

Because when a no. have root in denominator then it is said to be irrational

Answer 2

Answer:

Lets assume that 1/root2 is rational.

explanation :

• we can have two integers a and b ( which are coprime nos.)
• now, a/b=1/root2
• = root2 = a/b×1
• = root2 = a/b
• now if a and b are integers, then they are also rational and a/b = root2 which means that root2 is also rational.
• but this contradicts the fact that root2 is irrational.
• hence. our assumption is wrong.
• therefore, 1/root2 is irrational.