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Question
The decimal expansion of the number `sqrt(2)` is ______.
Options
a finite decimal
1.41421
non-terminating recurring
non-terminating non-recurring
Solution
The decimal expansion of the number `sqrt(2)` is non-terminating non-recurring.
Explanation:
The decimal expansion of the number `sqrt(2)` is non-terminating non-recurring. Because `sqrt(2)` is an irrational number.
Also, we know that an irrational number is non-terminating non-recurring.
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