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Find a Rational Number Between √ 2 and √ 3 - Mathematics

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Sum

Find a rational number between `sqrt2` and `sqrt3`

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Solution

As we know, `sqrt2` and `sqrt3` are irrational numbers.

`sqrt2` = 1.414 (approx.)
`sqrt3` = 1.732 (approx.)

A rational number between `sqrt2` and `sqrt3` will be

1.414 < 1.5<1.732
⇒ `sqrt2 < 3/2< sqrt3`

Therefore, 1.5 = `3/2` is a rational between `sqrt2  "and"  sqrt3`.

Concept: Concept of Irrational Numbers
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