contestada

Given the two expressions shown below:

A: square root of 3 plus square root of 2

B: square root of 3 plus square root of 6

Which statement best describes the two expressions?



A. Both are rational.


B. Both are irrational.


C. A is rational, but B is irrational.


D. A is irrational, but B is rational.

Respuesta :

Plug em into a calculator and they are both irrational

Answer:

B. Both are irrational

Step-by-step explanation:

We know that,

Rational numbers are the numbers that can be written in the form [tex]\frac{p}{q}[/tex], where q≠0.

Irrational numbers are the numbers which are not rational i.e. cannot be written in the form [tex]\frac{p}{q}[/tex], where q≠0.

According to our question,

A = [tex]\sqrt{3} +\sqrt{2}[/tex], this cannot be simplifies further and can never be written as [tex]\frac{p}{q}[/tex].

Similarly, B = [tex]\sqrt{3} +\sqrt{6}[/tex], cannot be simplified further into [tex]\frac{p}{q}[/tex] form.

Hence, both the numbers in A and B are irrational numbers.