Question

Find two rational and irrational numbers between root 2 and root 7

Answer 1

$\sqrt{2} = 1.414... \\ \sqrt{7} = 2.645...$
Rational number between these two
1) 1.567
2) 2.234
Irrational number between these two numbers
1)√3
2) √ 5

Answer 2

Answer:

Given: two rational No. √2 & √7

To find: Two rational and Two irrational Between given Number

Approximate value of √2 = 1.41  & √7 = 2.64

So, all Terminating and Non terminating repeating decimal expansion between them are rational numbers.

Non terminating non repeating decimal expansion between them are are irrational number. Also all square root of non perfect square no. .i.e., √3 , √5 , √7

Rational Number between √2 & √7 are 2.5 and √4 = 2.0

Irrational Number between √2 & √7 are √3 and √5