Question

hi every one FIND A RATIONAL NUMBER BETWEEN ROOT2 AND ROOT7

Answer 1

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