Question

Prove that 4 - 5√2 is irrational

Answer 1

Answer:

you should solve this question by your own

BTW. writing this for getting points for asking a question

sorry .

Answer 2

Step-by-step explanation:

rrational number

⇒ −5√2 = (a/b) − 4

⇒ −5√2 = (a − 4b)/b

⇒ √2 = (a − 4b)/(−5b)

Since a, b are integers, then (a − 4b)/(−5b) represents a rational number.

But this is a contradiction since RHS is a rational number where as LHS (√2) is an irrational number

Hence our assumption that " 4−5√2 = (a/b) is a rational number" is incorrect.

Thus 4−5√2 is an irrational number