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Question 153328This question is from textbook Algebra 1 An Incremental Development
: Simplify: 3√32 - 5√50 - 8√45 + 7√20This question is from textbook Algebra 1 An Incremental Development
: Simplify: 3√32 - 5√50 - 8√45 + 7√20
Answer by Earlsdon(3748) About Me  (Show Source):
You can put this solution on YOUR website!
Simplify:
3sqrt(32) - 5sqrt(50) - 8sqrt(45) + 7sqrt(20)
Factor the numbers under the radicals (the radicands).
3sqrt(16*2) - 5sqrt(25*2) -8sqrt(9*5) + 7sqrt(4*5)
Notice that one of the factors under each radical is a perfect square.
3sqrt(4^2*2) - 5sqrt(5^2*2) - 8sqrt(3^2*5) + 7sqrt(2^2*5)
So you can take the square root of these and move the result outside of the radical.
3*4sqrt(2)-5*5sqrt(2)-8*3sqrt(5)+7*2sqrt(5) Now perfom the indicated multiplication.
(12sqrt(2)-25sqrt(2))-(24sqrt(5)-14sqrt(5)) Finally, combine like-terms.
highlight(-13sqrt(2)-10sqrt(5))...and there you have it!