Question

Is the simplified form of 2square root of 3 + 3square root of 3 rational?

Answer 1

Answer:

No, the simplified form is not rational.

Step-by-step explanation:

We have been given the expression $2\sqrt3+3\sqrt3$

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

$2\sqrt3+3\sqrt3=5\sqrt3$

Now, we know that $\sqrt3$ 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  $\sqrt3$ then the result would be irrational.

Hence, the simplified form is irrational

Answer 2

$2\sqrt3+3\sqrt3=(2+3)\sqrt3=\boxed{5\sqrt3}\in\mathbb{R}\\\\It's\ not\ rational.$