Question

prove that 5 - 7√11 in irrational
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Answer 1

Step-by-step explanation:

let suppose it is rational number

5-7√11=a/b

7√11=5-a/b=5b-a/b

√11=5b-a/7b

5,b,7,a are integers

5b-a/7b is rational number

it means √11 is rational number

but √11 is irrational number

hence our supposition is wrong

5-√11 is irrational number