prove that root 11 minus root 6 is irregular number
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assume that root 11- root 6 is rational number
root 11- root 6=a/b
root 11=a/b + root 6
squaring both sides
11=(a/b)^2 + 2(a/b) root 6 +6
2(a/b) root 6= (a/b)^2 -5
root 6= [(a/b)^2 -5 ]÷ 2(a/b)
root 6 is is rational no
but this contradicts the fact that root 6 is irrational
our assumption is wrong
so root11 - root 6 is irrational
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