Answer: The answer is, 5x. √ 3x
Step-by-step explanation: In order to remove certain factors from the radical, we need to rewrite them as the product of two factors.
The first factor in such a product will have an exponent that is evenly divisible by the radical index, which means that we will be able to remove it from the radical.
In our example, we will be able to remove the following factors from the radical, because their exponents are evenly divisible by the radical index.
All the factors that can be removed from the radical need to be grouped at the beginning of the radicand.
We need to distribute the radical sign over each factor in the term.
We can simplify a radical by removing the GCF between the exponent in the radicand and the radical index.
In our example,
the exponent in the radicand is equal to 2 ,
the radical index is equal to 2 and
the greatest common factor is equal to 2 .
Since the GCF is equal to the radical index, we can completely remove the radical sign.