Question

show that 4√2 is an irrational number​

Answer 1

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:

$\huge{\boxed{\boxed{\mathfrak{\purple{Answer}}}}}$

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...

Hope it's helpful..