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Bailee Short

Bailee Short

Answered question

2022-06-19

Let 2 3 , 8 2 . How to find if the result of a problem is a rational or irrational number without solving the problem?

Answer & Explanation

Judovh0

Judovh0

Beginner2022-06-20Added 16 answers

Assume that 2 3 is rational.
Then, 2 + 3 = 1 3 2 is also rational.
Therefore, ( 2 + 3 ) + ( 2 3 ) = 2 2 is also rational.
Therefore, 2 is rational.
This is a contradiction, so 2 3 is irrational.
8 2 = 2 is rational.

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