Question

The expression square root 3x is equivalent to the expression x square root 3 True False

Answer 1

Answer:

Second option: False

Step-by-step explanation:

 

We need to remember this property:

 $\sqrt[n]{x^n}=x^{\frac{n}{n}}=x$

In this case we have the following expressions provided in the exercise:

$\sqrt{3x}$ and $x\sqrt{3}$

Based on the property mentioned before the expression $\sqrt{3x}$ cannot be simplified. So 3 and  $x$ stays inside the square root.

Therefore, the conclusion is: The expression $\sqrt{3x}$ is not equivalent to the expression $x\sqrt{3}$