Question

show that 5–√3 is irrational​

Answer 1

Step-by-step explanation:

let us assume that 5- /3 is rational

5-/3 = a ( where a and b are coprime and b not

b equal to 0)

/3= a - 5

b

/3= a - 5b

b

since a and b are integers

a- 5b is rational

b

therefore /3 is rational

but we know that /3 is irrational

this contradicts our assumption

therefore 5-/3 is irrational

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Answer 2

Answer:

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