prove that root 2 plus root3 is an irrational
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Step-by-step explanation:
Let us assume that is rational.
Then, according to the definition of rational numbers, there exists p and q (co-prime to each other, integers and q≠0) such that
Since p and q are integers, so the fraction on the right-hand side of the above equation is rational.
This implies that √3 is also rational, which is a contradiction.
Thus, our assumption is wrong and hence is rational.
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Question : Prove that root 3-root 2 is irrational.
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