Question

prove that 1/2+√3 is an irrational number

Answer 1

Answer:

Step-by-step explanation:

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Answer 2

Answer:

Step-by-step explanation:

LET US ASSUME THAT 1/2+√3 IS RATIONAL. then we have co primes a and b where (b≠0) such that,

1/2+√3=a/b

√3=a/b-1/2

√3=(2a-b)÷2b

here  

(2a-b)÷2b has a common factor 2, a, b other than 1

therefore,  (2a-b)÷2b is rational

so, √3 is also rational.

but this contradicts the fact that √3 is irrational.

hence 1/2+√3 is irrational

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