Question

which of the following is an irrational number?a.√16 b.√12/5 c.√12 d.√100​

Answer 1

The decimal expansion of a rational number is either terminating or non-terminating repeating.

(A) 0.14 is terminating, so it is a rational number

(B) 0.1416ˉ=0.141616

is also rational ( non-terminating repeating ), where digits 16 are repeating.

(C) 0.1416 is terminating, so it is a rational number

(D) 0.4014001400014

is an irrational number because it is neither terminating nor repeating.

Answer 2

Answer:

The decimal expansion of a rational number is either terminating or non-terminating repeating.

(A) 0.14 is terminating, so it is a rational number

(B) 0.14

16

ˉ

=0.141616....

is also rational ( non-terminating repeating ), where digits 16 are repeating.

(C) 0.1416 is terminating, so it is a rational number

(D) 0.4014001400014..

is an irrational number because it is neither terminating nor repeating.