SOLUTION: sqrt( 2040) / sqrt (30) (Or in other words the square root of 2040 divided by the square root of 30. I have tried to work out this question and have gotten close but not quite

Question 1110408: sqrt( 2040) / sqrt (30)
(Or in other words the square root of 2040 divided by the square root of 30.
I have tried to work out this question and have gotten close but not quite there...The answer in my textbook says that it is equal to 2 times the square root of 17.
Could you please show me the steps involved in working it out?
(I will not put my working out so far as it goes in for a long time... I did use the rationalising of the denominators technique though..)

Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
sqrt( 2040) / sqrt (30)
----
= sqrt(2040/30) = sqrt(68)
= sqrt(4*17) = sqrt(4)*sqrt(17)
= 2sqrt(17)

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