check whether 6 - √5 is rational or irrational
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value of root 5 is irrational thus 6 - root5 is an irrational no.
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it is irrational no
if we take 6-√5=p/q (let p and q r rational)
√5=p/q-6
√5 = p-6q/q
here LHS is rational
RHS is irrational
LHS is not equal to RHS
hence it is irrational no.
if we take 6-√5=p/q (let p and q r rational)
√5=p/q-6
√5 = p-6q/q
here LHS is rational
RHS is irrational
LHS is not equal to RHS
hence it is irrational no.
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