SOLUTION: Solve the equation by using the square root property. Simplify all radicals. (3k+5)^2-27=0

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Question 1007764: Solve the equation by using the square root property. Simplify all radicals.
(3k+5)^2-27=0

Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!

%283k%2B5%29%5E2-27=0

%283k%2B5%29%5E2=27........take a square root of both sides

sqrt%28%283k%2B5%29%5E2%29=sqrt%2827%29

3k%2B5=sqrt%2827%29

3k=sqrt%2827%29-5

k=%28sqrt%2827%29-5%29%2F3....since 27=3%5E2%2A3, we have

k=%28sqrt%283%5E2%2A3%29-5%29%2F3

k=%283sqrt%283%29-5%29%2F3

k=cross%283%29sqrt%283%29%2Fcross%283%29-5%2F3

k=sqrt%283%29-5%2F3