SOLUTION: How do you find the anwser to (2a) Squared= 24

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Question 74439This question is from textbook Algerbra
: How do you find the anwser to (2a) Squared= 24This question is from textbook Algerbra

Answer by jim_thompson5910(21667) About Me  (Show Source):
You can put this solution on YOUR website!
%282a%29%5E2=24
sqrt%28%282a%29%5E2%29=sqrt%2824%29
cross%282%2F2%29a=%280%2B-sqrt%2824%29%29%2F2Divide both sides by 2
a=%280%2B-sqrt%2824%29%29%2F2
a=%280%2B-sqrt%286%29sqrt%284%29%29%2F2Rewrite the square root with one perfect square as factor
a=%280%2B-sqrt%286%29%282%29%29%2F2
a=%280%2B-sqrt%286%29%2Across%282%29%29%2Fcross%282%29Cancel common terms
a=0%2B-sqrt%286%29There's the simplified answer note: ignore the zero. it is only used to make the plus/minus.


Check:
%282%28sqrt%286%29%29%29%5E2=24Plug in sqrt%286%29
4%2A6=24
24=24works
%282%28-sqrt%286%29%29%29%5E2=24Plug in -sqrt%286%29
4%2A6=24
24=24works