Question

show that 26 + √8 is irrational​

Answer 1

Answer:

Step-by-step explanation:

let us assume to the contrary that 26+√8 is rational

thus 26+√8 =a/b

√8=a-26b/b

2√2 = a-26b /b  (√8=2√2)

√2 = a-26b/2b

LHS √2 is irrational

and RHS a ,-26 , b are integers

thus LHS≠RHS

hence our assumption is wrong

thus 26+√8 is irrational