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प्रश्न
Examine, whether the following number are rational or irrational:
`sqrt7`
बेरीज
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उत्तर
A rational number can be expressed in the form p/q, where p and q are integers and q ≠ 0.
√7 cannot be written as a fraction of two integers.
Its decimal form is non-terminating and non-repeating:
√7 ≈ 2.645751311...
Therefore, since it cannot be written as a fraction and its decimal goes on forever without repeating,
√7 is irrational.
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