Question

find two numbers which on multiplication with root 180 gives a rational number.are these numbers rational or irrational?

Answer 1

Solution:-
The number = √180 = √2*2*3*3*5
= 6√5
Now, it is a irrational number, and if we want to make it rational, we can multiply it by √5 or 2√5.
The product will be
1) 6√5 × √5 = 30
2) 6√5 × 2√5 = 60
These product are rational number and the two chosen numbers will be irrational numbers. 

Answer 2

Answer:

The no. is √180= 6√5 this is irrational no.

Step-by-step explanation:

If you want to make this no rational,

Multiply 6√5 by 2√5 or √5

6√5*√5= 30

6√5*2√5= 60

these nos are rational