Question

solve this problem and I will make them brainlist​

Answer 1

yes it will be also irrational as sum or difference of irrational and rational is always irrational....

to know more and if u want a proof .....it is on Hk das( 10th) page 37

Answer 2

Let us assume that 2-4√2 is rational

so 2-4√2= a/b where a and b are co-primes and b is not equal to 0

so,2-4√2=a/b

4√2=2-a/b

4√2 = 2b-a/b

√2 =2b-a/4b

for a and b are integers,

2b - a/4b is the form of p/q,

so it should be rational

that means √2 is also rational

but this contradicts the fact that √2 is irrational

so,2-4√2 is irrational

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