To simplify this expression, we first need to simplify √48 and √147:
√48 = √16x316 x 316x3 = √16 x √3 = 4√3
√147 = √49x349 x 349x3 = √49 x √3 = 7√3
Now we can substitute these values back into the original expression:
7√3+14(4√3)−7√37√3 + 14(4√3) - 7√37√3+14(4√3)−7√3 / 2√3= 7√3 + 56√3 - 7√3 / 2√3= 56√3 / 2√3= 28
Therefore, 7√3+14√48−√1477√3+14√48-√1477√3+14√48−√147/2√3 simplifies to 28.
To simplify this expression, we first need to simplify √48 and √147:
√48 = √16x316 x 316x3 = √16 x √3 = 4√3
√147 = √49x349 x 349x3 = √49 x √3 = 7√3
Now we can substitute these values back into the original expression:
7√3+14(4√3)−7√37√3 + 14(4√3) - 7√37√3+14(4√3)−7√3 / 2√3
= 7√3 + 56√3 - 7√3 / 2√3
= 56√3 / 2√3
= 28
Therefore, 7√3+14√48−√1477√3+14√48-√1477√3+14√48−√147/2√3 simplifies to 28.