State, with Reason, of the Following is Surd Or Not : √180

State, with reason, of the following is surd or not : √180

Sum

√180 = `sqrt( 2 xx 2 xx 5 xx 3 xx 3 )` = 6√5 which is irrational.
∴ √180 is a surds.

shaalaa.com

Surds

Is there an error in this question or solution?

Chapter 1: Rational and Irrational Numbers - Exercise 1 (C) [Page 21]

Chapter 1 Rational and Irrational Numbers
Exercise 1 (C) | Q 1.1 | Page 21

State the order of the surd given below.

`root (4)(10)`

State whether the following number is a surd or not.

`root (3)(51)`

State whether the following number is a surd or not.

`root (3)(64)`

Classify the given pair of surds into like surd and unlike surd.

`sqrt 52, 5 sqrt13`

What is the order of the surd `root (3)sqrt (5)`?

Simplify : `root(4)(243)/root(4)(3)`

State, with reason, of the following is surd or not:

`root(4)(27)`

State, with reason, of the following is surd or not :
`root(3)(64)`

State, with reason, of the following is surd or not :
`root(3)(25). root(3)(40)`

State, with reason, of the following is surd or not :
`root(3)( -125 )`