Question

Find two rational numbers between √ 2 and √ 5

Answer 1

There are infinite number of rational and irrational numbers between any two numbers.


Sol: √2= 1.414...... √5 = 2.236..... The numbers which can be expressed in the form of p/q, where q ≠ 0 are called rational numbers. A terminating decimal and a non-terminating non-repeating decimal can be represented as a rational number. Therefore, rational numbera between √2 and √5 that is between 1.414 and 2.236 are 1.5 and 1.5