whether 2 + √3 is irrational or not ? write your answer step by step and with full explanation.
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Step-by-step explanation:
assume 2 + root 3 are rational no. and can be written as
= 2 + root 3 = p/q
= root 3 = p/q - 2
= root 3 = 2p - q / q
here , 2p , q and q are integers and rational no. but root 3 is an irrational no. then, this contradictes to our assumption then 3 + root is an irrational no.
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