Question

Which of the following statements is true?

A) √5/8 is rational and √4/9 is irrational
B) √5/8 is irrational and √4/9 is rational
C) both √5/8 and √4/8 are rational
D) both √5/8 and √4/8 are irrational

Answer 1

Option B

Explanation:

we know that

A rational number is one that can be represented as the ratio of two whole numbers

so

`(√(5))/(8)` -----> Is not a rational number, because √5 is not a whole number, is a irrational number

`(√(4))/(9)=(2)/(9)` ---> Is a rational number, because can be represented as the ratio of two whole numbers

therefore

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