Question

Which of the following statements is true?
Both √5/8 and √4/9 are irrational
√5/8 is rational and √4/9 is irrational
√5/8 is irrational and √4/9 is rational
both √5/8 and √4/8 are rational

Answer 1

C - √5/8 is irrational and √4/9 is rational 

Answer 2

Answer:

$\frac{\sqrt{5}}{8}$ is irrational and  $\frac{\sqrt{4}}{9}$ is rational .

Step-by-step explanation:

Given : Statements Both √5/8 and √4/9 are irrational  

√5/8 is rational and √4/9 is irrational  

√5/8 is irrational and √4/9 is rational  

both √5/8 and √4/8 are rational.

To find : Which of the following statements is true.

Solution : We have given $\frac{\sqrt{5}}{8}$ and $\frac{\sqrt{4}}{9}$ .

Rational number : A number is rational if we can write it as a fraction where the numerator  and denominator are both whole numbers.

Irrational number : an irrational number is any number that is not rational. It is a number that cannot be written as a ratio of two integers.

$\sqrt{5}$  is not an integer so, $\frac{\sqrt{5}}{8}$ is irrational number .

$\sqrt{4}$  =  2 so, it is an integer then it is rational number.

Therefore,  $\frac{\sqrt{5}}{8}$ is irrational and  $\frac{\sqrt{4}}{9}$ √4/9 is rational .