मराठी

Find a rational number between sqrt(2) and sqrt(3).

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प्रश्न

Find a rational number between `sqrt(2)` and `sqrt(3)`.

बेरीज
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उत्तर

As we know, `sqrt(2)` and `sqrt(3)` are irrational numbers.

`sqrt(2) = 1.414` (approx.)

`sqrt(3) = 1.732` (approx.)

A rational number between `sqrt(2)` and `sqrt(3)` will be

1.414 < 1.5 < 1.732

⇒ `sqrt(2) < 3/2 < sqrt(3)`

Therefore, `1.5 = 3/2` is a rational between `sqrt(2)` and `sqrt(3)`.

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पाठ 1: Real Numbers - EXERCISE 1D [पृष्ठ ३६]

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आर. एस. अग्रवाल Mathematics [English] Class 10
पाठ 1 Real Numbers
EXERCISE 1D | Q 3. | पृष्ठ ३६
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