Rules of √ Question Algebra Easy 10 points?
I have a question about Square Roots that I need answered by the community..
"Example 5√54 + 3√250 They are Cubed"
When you get threw the steps you reach
15√2 + 15√2 Cubed The instructor online said this total would equal 15√2 Cubed. (Why?)
Because the next was (5+2√7)^2 and came to 25+10√7 + 10√7 +28= 53 + 20√7 (Why was 10√7 added to make 20√7?) When the earlier wouldn't be added in the same way.
If someone could explain this concept to me that would be appreciated..
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15√2 + 15√2 Cubed = 30 √2 Cubed (30 x the 3rd root of 2)
Simplifying x2 + 20x + one hundred = one hundred Reorder the words: one hundred + 20x + x2 = one hundred upload '-one hundred' to each and every area of the equation. one hundred + 20x + -one hundred + x2 = one hundred + -one hundred Reorder the words: one hundred + -one hundred + 20x + x2 = one hundred + -one hundred combine like words: one hundred + -one hundred = 0 0 + 20x + x2 = one hundred + -one hundred 20x + x2 = one hundred + -one hundred combine like words: one hundred + -one hundred = 0 20x + x2 = 0 fixing 20x + x2 = 0 ingredient out the most excellent difficulty-loose ingredient (GCF), 'x'. x(20 + x) = 0 Subproblem 1Set the ingredient 'x' equivalent to 0 and attempt to resolve: Simplifying x = 0 fixing x = 0 flow all words containing x to the left, all different words to the right. Simplifying x = 0 Subproblem 2Set the ingredient '(20 + x)' equivalent to 0 and attempt to resolve: Simplifying 20 + x = 0 fixing 20 + x = 0 flow all words containing x to the left, all different words to the right. upload '-20' to each and every area of the equation. 20 + -20 + x = 0 + -20 combine like words: 20 + -20 = 0 0 + x = 0 + -20 x = 0 + -20 combine like words: 0 + -20 = -20 x = -20 Simplifying x = -20 Solutionx = {0, -20}