I tried doing the following question a few times now: (sqrt(8)*sqrt(3)*2sqrt(5))/(4sqrt(6)*3sqrt(15)), but my answer always ends up being (sqrt(3))/(9), or in decimals: 0.1924500897298753. My problem is that I cannot find the corresponding answer on my worksheet! Am I doing something wrong?
+128631 (sqrt(8)*sqrt(3)*2sqrt(5))/(4sqrt(6)*3sqrt(15))
Simplifying we have
sqrt (24) * 2sqrt (5) 2 sqrt ( 24 * 5) 2 sqrt (120)
_________________ = ________________ = __________ =
4 sqrt (6) * 3sqrt (15) 12 sqrt ( 15 * 6) 12 sqrt (90)
(2/ 12) sqrt ( 120 / 90) =
(1// 6) sqrt (4/3) =
(1/6) sqrt (4) / sqrt (3) =
(1/6) * 2 / sqrt (3) =
(1/3) /sqrt (3) =
1
_________ rationalize this by multiplying top/bottom by sqrt 3 and we get
3sqrt (3)
sqrt 3
______
9
Maybe your worksheet does not rationalize the denominator ????
You certainly got the correct answer as I would express it !!!!
