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# Am I wrong on this one?

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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?

Apr 21, 2021

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(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    !!!!

Apr 21, 2021