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=2+5√3 = a/b
squaring on both sides
= (2+ 5√3) ²= (a/b )²
= 2² +75+10√3 = a²/b²
= 10√3 = a²/b² - 4-75
= a²/b²-79
= 10√3 = a²-79b² / b²
√3 = a² -79b² /10b²
RHS is in the form of p/q
but it contradicts the fact that √3is an irrational number
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