Question

Classify following numbers
as rational or irrational 1. √4 2. √27 3. √5-(2+√5) 4. 2.757575- - -. with justification please.​

Answer 1

1. rational as this is the perfect sq. of 2
2. rational as this is the perfect sq.of 3
3. irrational as it has √5 which is irrational
4. irrational as it cannot be express into fraction or decimal

HOPE IT HELPS YOU.....!!!

Answer 2

1) √4 is a rational number as it can be written as 2 i.e a whole number i.e. integer

2) √27 is an irrational number as it is written as 3√3 i.e. √3 is not a integer

3) √5-(3+√5) is a rational number as after solving we get -2 which is an integer

4) 3.757575 is an irrational number as in it 75 is repeating which is not an integer