Question

Q.show that 4root 2 is an irational number?​

Answer 1

Answer:

hope it's helpful to you

Step-by-step explanation:

4

2

is a rational number.

Then, there exists coprime positive integers p & q such that

4

2

=

q

p

2

=

4q

p

(∵ p & q are integers)

⇒

4q

p

is rational

⇒

2

is rational

This contradict the fact that

2

is irrational. so our assumption is incorrect.

Hence 4

2

is irritational.

Answer 2

Answer:

4√2 is an irrational no. because there are no exact value of √2

And product of a rational and an irrational is always irrational