Share

# Find two irrational numbers lying between √2 and √3 - CBSE Class 10 - Mathematics

#### Question

Find two irrational numbers lying between sqrt2" and "sqrt3

#### Solution

We know that, if a and b are two distinct positive irrational numbers, then sqrt(ab) is an irrational number lying between a and b.

∴ Irrational number between sqrt2  is = sqrt(sqrt2xxsqrt3) = 6^(

Irrational number between sqrt2 is sqrt(sqrt2xx6^(1/4)) = 2^(

Hence required irational number are 6^(

Is there an error in this question or solution?

#### Video TutorialsVIEW ALL [1]

Solution Find two irrational numbers lying between √2 and √3 Concept: Proofs of Irrationality.
S