Prove that 2+7√3 is irrational number.
Prove that 9+7√5 is irrational number.
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So, lettuce assume that 2 - 3 √ 7 as a rational number. Now, we observe the right-hand side as a rational number and the left-hand side as √7 that is a irrational number. Hence, the assumption is contradicted. Hence, it is proved that 2 - 3 √ 7 is an irrational number.
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