SOLUTION: {{{10 sqrt (1/5) - sqrt (45) - 12 sqrt (5/9)}}} I have tried rationalizing the denominators and mutliplying by either radical 5 or 3 radical 5, but am struggling with what to do

Question 751341:
I have tried rationalizing the denominators and mutliplying by either radical 5 or 3 radical 5, but am struggling with what to do with the whole numbers before the sqrt when I do that.
Also tried making this into improper fractions, but was again foiled with the initial 10 and then the 1 over sqrt 5.
Hope you can help me.
Found 2 solutions by ankor@dixie-net.com, josgarithmetic:
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!

:
Try to extract square roots to end up with like terms, square root of 5:
:

:

:

:

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Answer by josgarithmetic(39617) (Show Source): You can put this solution on YOUR website!

Let us look at just the square roots having the irrational denominators.

*

*

Your expression should now be worked into this:

and that should now be easier to finish simplifying.
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