Question 117419
simplify and rationalize the denominator Radical X^2+11 = 2radical 3X 
:
The way I see this problem is you don't have a denominator here, I see it as:
{{{sqrt(x^2+11) = 2sqrt(3x)}}} and you can solve it
:
Square both sides and you have:
x^2 + 11 = 4(3x)
:
x^2 + 11 = 12x
:
x^2 - 12x + 11 = 0
:
Factors to:
(x-11)(x-1) = 0
:
x = +11, x = +1; and both solutions check out