Question

Which of the following is an irrational number? A) √16/25 (B) √5 (C) √196

Answer 1

Answer:

the correct ans is option B √5

Step-by-step explanation:

as option A is √16/25=4/5is a rational no.

option C is √196=14 is a rational no.

Answer 2

Concept:

We need to understand what rational and irrational numbers mean.

Rational number: is a type of real numbers, which is in the form of p/q where q is not equal to zero. Any fraction with non-zero denominators is a rational number.

Irrational numbers: are the real numbers that cannot be represented as a simple fraction. It cannot be expressed in the form of a ratio, such as p/q, where p and q are integers, q≠0.

Given:

We are given few samples of numbers like$\sqrt{\frac{16}{25} } ,\ \sqrt{5}, \ \sqrt{196}$

To find:

We need to find which one of the given is a irrational number.

Solution:

Lets solve the given equations one by one.

A) Now,

$\sqrt{\frac{16}{25} } =\frac{\sqrt{16} }{\sqrt{25} } =\frac{4}{5}$

This is a rational number.

B) $\sqrt{5}$ now this is a irrational number as it follows the defination of a irrational number

C) Next,

$\sqrt{196}=14$

This is a rational number.

Therefore from above we can understand that $\sqrt{5}$ is the only irrational number.