Question

prove that is 6-2 √5 irrational.

Answer 1

Answer:

Step-by-step explanation:

let us assume that 6 -2 root 5 is a rational number.

Therefore ,

6 -2 root 5 = p / q where p and q are integers and q ia not equal to 0.

6 - 2 root 5 = a / b where a and b are co-prime .

√5 = a/2b +  6

Therefore,

This contradicts the fact that root 5 is rational .

This is because of our weong assumption that 6 - 2root 5 is rational .

Therefore 6 - 2 root 5 is irrational

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Answer 2

Answer:

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