Question 195393
{{{sqrt((1/3)x+2)=8}}} Start with the given equation.



{{{(sqrt((1/3)x+2))^2=8^2}}} Square both sides



{{{(1/3)x+2=8^2}}} Square the square root of the left side to eliminate it.



{{{(1/3)x+2=64}}} Square 8 to get 64



{{{cross(3)((1/cross(3))x)+3(2)=3(64)}}} Multiply EVERY term by the LCD {{{3}}} to clear the fractions.



{{{x+6=192}}} Distribute and multiply.



{{{x=192-6}}} Subtract {{{6}}} from both sides.



{{{x=186}}} Combine like terms on the right side.



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Answer:


So the answer is {{{x=186}}}