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Examine, whether the following number are rational or irrational: 7 - Mathematics

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प्रश्न

Examine, whether the following number are rational or irrational:

`sqrt7`

योग
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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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अध्याय 1: Number Systems - Exercise 1.4 [पृष्ठ ३१]

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आरडी शर्मा Mathematics [English] Class 9
अध्याय 1 Number Systems
Exercise 1.4 | Q 3.01 | पृष्ठ ३१
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