Final answer:
simplifies to
, by taking the square root of the perfect square factor 16 and multiplying it by the square root of the remaining factor 3.
Step-by-step explanation:
To find the simplified form of
, you should first look for perfect square factors contained within 48. The number 48 can be factored into 16 and 3, where 16 is a perfect square. Therefore, you can take the square root of 16 out of the square root sign.
The process goes as follows:
- Factor 48 into 16 × 3.
- Recognize that
. - Simplify
.
So the simplified form of
is
.