Practice Set 2.3 Algebra 9th Std Maths Part 1 Answers Chapter 2 Real Numbers
ii. is not a surd because
= 2, which is not an irrational number.
iii. is a surd because 81 is a positive rational number, 5 is a positive integer greater than 1 and is irrational.
iv. is not a surd because
= 16, which is not an irrational number.
v. is not a surd because
= 4, which is not an irrational number.
vi. is a surd because is a positive rational number, 2 is a positive integer greater than 1 and is irrational.
Here, the order of 2 and 5 is same and their radicands are also same.
∴ and 5 are like surds.
Here, the order of 2 and 5 is same but their radicands are not.
∴ and 5 are unlike surds.
Here, the order of 12 and 7 is same and their radicands are also same.
∴ 4 and 7 are like surds.
Here, the order of 38 and 6 is same and their radicands are also same.
∴ 19 and 6 are like surds.
v. 5, 7
Here, the order of 5 and 7 is same but their radicands are not.
∴ 5 and 7 are unlike surds.
Here, the order of 5√5 and 5√3 is same but their radicands are not.
∴ 5√5 and √75 are unlike surds.