(2 + √2)²
state, wheather it is a rational number or not
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Answer:
NO.
Step-by-step explanation:
(2 + √2)² = (2)² + (2 × 2 × √2) + (√2)² = 4 + 4√2 + 2 = 6 + 4√2.
Since, √2 is an irrational number, so any other number which gets multiplied or added with it becomes an irrational number.
Therefore, (2 + √2)² is not a rational number.
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