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Question 64847This question is from textbook An Incremental Development
: Simplify :
5 times the square root of 5/7 - 2 times the square root of 7/5 - the square root of 315
This question is from textbook An Incremental Development
Answer by ptaylor(2198)   (Show Source):
You can put this solution on YOUR website! To simplify:
(5)sqrt(5/7)-(2)sqrt(7/5)-sqrt(315)
First, lets rewrite sqrt(315) as sqrt((9)(35)) or (3)sqrt(35). Now we have:
(5)sqrt(5/7)-(2)sqrt(7/5)-(3)sqrt(35)
Now we'll multiply everything by the (sqrt(35))/sqrt(35) and we get
((5)sqrt(5/7))(sqrt(35))/sqrt(35)-((2)sqrt(7/5))(sqrt(35))/sqrt(35)-((3)sqrt(35))(sqrt(35))/sqrt(35) When we simply this, we get:
((5)sqrt(5))(sqrt(5))/sqrt(35)-((2)sqrt(7)(sqrt(7))/sqrt(35)-((3)sqrt(35)(sqrt35))/sqrt(35)
further simplifying, we have:
((5)(5))/sqrt(35)-((2)(7))/sqrt(35)-((3)(35))/sqrt(35) simplifying again:
(25-14-105)/sqrt(35) or
-94/sqrt(35) once again, we'll multiply by (sqrt(35))/sqrt(35) and we get
(-94)sqrt(35)/35
This is about simplified as I can get it.
You can check the answer with a calculator
Hope this helps. Happy holidays---ptaylor
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