Advertisement Remove all ads

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

Sum

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

Advertisement Remove all ads

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`.

  Is there an error in this question or solution?
Advertisement Remove all ads
Advertisement Remove all ads
Advertisement Remove all ads
Share
Notifications

View all notifications


      Forgot password?
View in app×