Question

show that 4√2 is an irrational number​

Answer 1

Answer:

Step-by-step explanation:

Let us assume that 4√2 is a rational number. Since, 32 divides a2, so 32 divides 'a' as well. So, we write a = 32c, where c is an integer. ... ∴ 4√2 is an irrational number.

Answer 2

Answer:

Yes

Step-by-step explanation:

Let us assume that 4√2 is an rational number

Therefore we can write it in P/ Q form

Therefore 4√2 = P/Q

Therefore √2 = P / 4Q

The LHS is an irrational number and RHS is an rational number

Therefore it is contradictory and therefore our assumtion is wrong .

Therefore 4√2 is an irrational number