Question

which of the following is the irrational number ? a)under root 23 b)under root 25 c) 0.3796 d) 7.478 bar​

Answer 1

Answer:

option a

rational number means number which can be expressed in the form of p/ q and p is an integer.

But here √23 is denoted as p and is not an integer.

Answer 2

Answer:

(i) 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.