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Prove that 4_5root 2 is irrrational number

Answer» Who helped lencho
Let us assume that 4-5√2 is be rational.=> 4-5√2 = a/b [ where, a,b belongs to Z]=> -5√2 = a/b -4=> √2 = 4/5 -a/bL.H.S = irrational number as √2 is an irrational number .R.H.S = rational numberHence, R.H.S ≠ L.H.STherefore, our assumption is wrong & 4-5√2 is an irrational number.
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