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Classify 2 - 2√2 as rational or irrational, and explain your reasoning.

a. Rational
b. Irrational
c. Both rational and irrational
d. Neither rational nor irrational

User CYAD
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1 Answer

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Final answer:

The expression 2 - 2√2 is an irrational number.

Step-by-step explanation:

The expression 2 - 2√2 is an irrational number.

An irrational number is a number that cannot be written as a fraction of two integers. In this case, the square root of 2 (√2) is irrational, and when multiplied by 2, it remains irrational. Subtracting an irrational number from a rational number does not change the nature of the result, so 2 - 2√2 is still irrational.

User Sokkyoku
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