To simplify this expression, we first need to simplify √48 and √147:
√48 = √(16 x 3) = √16 x √3 = 4√3
√147 = √(49 x 3) = √49 x √3 = 7√3
Now we can substitute these values back into the original expression:
(7√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-√147)/2√3 simplifies to 28.
To simplify this expression, we first need to simplify √48 and √147:
√48 = √(16 x 3) = √16 x √3 = 4√3
√147 = √(49 x 3) = √49 x √3 = 7√3
Now we can substitute these values back into the original expression:
(7√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-√147)/2√3 simplifies to 28.