Question

classify the following numbers as rational or irrational(1)2-cube5 (2) 1/cube2​

Answer 1

Answer:

23 is not a perfect square values so that, it is an irrational number.

(ii)√(225) = √(3*3*5*5)

Pairs comes outside the root and we get

√(3*3*5*5) = 15

That means 225 is a perfect square value so it a rational number

(iii) 0.3796

The decimal expansion of above number is terminating, so that it is a rational number.

(iv) 7.478478 …

The decimal expansion of above number is non-terminating recurring, so that, it is a rational number.

(v) 1.10100100010000 …

The decimal expansion of above number is non-terminating non-repeating, so that , it is an irrational number.