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 .
