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Answer:
(√2)² = 2
Step-by-step explanation:
You can do this for any rational root of a rational number. Simple examples are squares and cubes:
(√5)^2 = 5 . . . . . . √5 is irrational
(∛6)^3 = 6 . . . . . . . ∛6 is irrational
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You can also do it with other rational roots:
x = 83^(2/3) is irrational
x^(3/2) = 83 is rational
