Question

Assuming that root 2 is rational show that 5root 2 is an irrational number​

Answer 1

Answer:

Step-by-step explanation:

Step-by-step explanation:

Let   be a rational number.

So,  = a / b where a and b are co-prime. and b  0

a = 5b

= 5b / a

5b / a is a rational number. So,  should also be a rational number.

But as proved  is an irrational number.

Therefore, our assumption is wrong.

Therfore,   is an irrational number.

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