Respuesta :
[tex]2\sqrt3+3\sqrt3=(2+3)\sqrt3=\boxed{5\sqrt3}\in\mathbb{R}\\\\It's\ not\ rational.[/tex]
Answer:
No, the simplified form is not rational.
Step-by-step explanation:
We have been given the expression [tex]2\sqrt3+3\sqrt3[/tex]
We can easily simplify this expression by adding the terms. We can add the terms because both have the same radical.
On adding, we get
[tex]2\sqrt3+3\sqrt3=5\sqrt3[/tex]
Now, we know that [tex]\sqrt3[/tex] is an irrational number. Now, we know that the product of rational and irrational is irrational . Hence, when we multiply a rational number 5 with irrational number [tex]\sqrt3[/tex] then the result would be irrational.
Hence, the simplified form is irrational