Question

Which expression results in a rational number?

Answer 1

Answer:

option D is rational

Step-by-step explanation:

A rational number is a number that can be written in the form of fraction or integer

here in the given question

A) 1.5 + √1.5

now,

√1.5 is not rational as √1.5 = 1.2247448713915890490986420373529

hence A is not rational

b) 12 - √12

√12 is not rational as √12 = 3.4641016151377545870548926830117

hence B is not rational

c) $\frac{3}{4}\times\sqrt\frac{3}{4}$

here,

$\sqrt\frac{3}{4}$ is not rational

D) $\frac{25}{\sqrt{25}}$

now,

√25 = 5

hence,

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

therefore,

option D is rational