Question

Classify the following number as rational or irrational with justification
3√18​

Answer 1

Answer:

3 root 18 is a irrational number because when we factories 18 then it will be 2*3*3 so we can take 3 outside the root but 2 will remain in root so 2*3 root 2 that is = 6 root 2 so root value is irrational

Answer 2

Answer:

Answer

Rational number is a number which can be written in form

q

p

, where p,q are both integers.

3

18

=3

9×2

=3×3

2

=9

2

.

So, it cannot be written in a form

q

p

, with p,q both integers.

Hence, 3

18

is an irrational number.