SOLUTION: Simplify: 3√32 - 5√50 - 8√45 + 7√20

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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

Answer by Earlsdon(6098) About Me  (Show Source):
You can put this solution on YOUR website!
Simplify:
3sqrt%2832%29+-+5sqrt%2850%29+-+8sqrt%2845%29+%2B+7sqrt%2820%29
Factor the numbers under the radicals (the radicands).
3sqrt%2816%2A2%29+-+5sqrt%2825%2A2%29+-8sqrt%289%2A5%29+%2B+7sqrt%284%2A5%29
Notice that one of the factors under each radical is a perfect square.
3sqrt%284%5E2%2A2%29+-+5sqrt%285%5E2%2A2%29+-+8sqrt%283%5E2%2A5%29+%2B+7sqrt%282%5E2%2A5%29
So you can take the square root of these and move the result outside of the radical.
3%2A4sqrt%282%29-5%2A5sqrt%282%29-8%2A3sqrt%285%29%2B7%2A2sqrt%285%29 Now perfom the indicated multiplication.
%2812sqrt%282%29-25sqrt%282%29%29-%2824sqrt%285%29-14sqrt%285%29%29 Finally, combine like-terms.
highlight%28-13sqrt%282%29-10sqrt%285%29%29...and there you have it!