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3 + root2 is irrational if root 2 is irrational given |
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Answer» Let us assume that 3+root2 is rational.i.e 3+root2=p/q(p and q are rational no.)Now, 3+root2=p/q root2=(p-3q)/q Since,(p-3q)/q are rational no.Therefore root2 is also rational no. which is contradictory as we know root2 is irrational.Therefore,3+root2 is irrational. Proved.... Explain plz Yes |
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