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A rational number between 2 and 3 is ______. - Mathematics

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प्रश्न

A rational number between `sqrt(2)` and `sqrt(3)` is ______.

विकल्प

  • `(sqrt(2) + sqrt(3))/2`

  • `(sqrt(2) * sqrt(3))/2`

  • 1.5

  • 1.8

MCQ
रिक्त स्थान भरें

उत्तर

A rational number between `sqrt(2)` and `sqrt(3)` is 1.5.

Explanation:

A rational number between `(sqrt(2)  "and"  sqrt(3))` i.e., 1.414 and 1.732.

  1. `(sqrt(2) + sqrt(3))/2`, which is an irrational number, so it is not a solution.
  2. `(sqrt(2) * sqrt(3))/2 = sqrt(6)/2`, which is an irrational number, so it is not a solution.

Now, 1.5 and 1.8 both are the rational numbers but only 1.5 lies between 1.414 and 1.732.

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अध्याय 1: Number Systems - Exercise 1.1 [पृष्ठ ३]

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एनसीईआरटी एक्झांप्लर Mathematics [English] Class 9
अध्याय 1 Number Systems
Exercise 1.1 | Q 8. | पृष्ठ ३

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