Question

which of the following is an irrational number. a) √23 b) √225. c) √0.3796 d) √7.478478​

Answer 1

Answer:

√23

Step-by-step explanation:

root 23 cannot be written in the form of p upon q because 23 is not perfect square of any number

root 225=15^2

root 0.3796 = 3796/9999

also option d is written in the form of p upon q

Answer 2

Answer:

Step-by-step explanation:

Concept:

• Numbers that may be stated as a fraction or a component of a whole number are known as rational numbers.
• Numbers that cannot be stated as a fraction or as a ratio of two integers are known as irrational numbers. There is no limit to how they can be expressed.

Given :

The values are a) $\sqrt{23}$ b) $\sqrt{225}$. c) $\sqrt{0.3796}$ d) $\sqrt{7.478478}$

Find:

Check which of the options is an irrational number​.

Solution:

(a)$\sqrt{23}$$=4.80$

The decimal expansion is non-repeating and non-terminating.

The given vaue is irrational number.

Thus the given option (a) is correct