Question

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

Answer 1

No, the simplified form is not rational.

Step-by-step explanation:

We have been given the expression 2square root of 3 + 3square root of 3 rational

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√3 + 3√3 = 5√3

Now, we know that √3 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 √3 then the result would be irrational.

Hence, the simplified form is irrational