SOLUTION: How would you perform the indicated operation? 8 over the square root of 80-3 over the square root of 45

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Question 135563: How would you perform the indicated operation?
8 over the square root of 80-3 over the square root of 45
Answer by edjones(8007) About Me  (Show Source):
You can put this solution on YOUR website!
8/sqrt(80) - 3/sqrt(45)
=8/sqrt(16*5) - 3/sqrt(9*5)
=8/4sqrt(5) - 3/3sqrt(5)
=2/sqrt(5) - 1/sqrt(5)
=(2-1)/sqrt(5)
=1/sqrt(5)
=1/sqrt(5) * sqrt(5)/sqrt(5)
=sqrt(5)/5
.
Ed