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

Sum

Find a rational number between sqrt2 and sqrt3

#### 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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