Question

insert a rational and a irrational number between √2 and √3​

Answer 1

Solution:

Rational number:

A number which can be written

in the form of p/q , where p and q are integers and q≠ 0 is called a Rational number.

Irrational numbers:

Numbers which are not rational.

Here ,

Given two numbers √2 and √3 are irrational.

√2 ≈ 1.414

√3 ≈ 1.732

Density property:

Between any two rational numbers there exist uncountable rational numbers.

i) Rational number between √2 and √3 is 1.5

ii) Irrational number between √2 and √3 is 1.6010010001....

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