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Find the roots of the equation for
Solution:
The first thing that we need to do is to examine the given equation first if we can simplify or not. In this case, √3y + 4 is a common factor on both sides of the equation. Cancel their common factor, we have
Since y² will be eliminated from the above equation, then it becomes a linear equation and we can solve for the value of y. The value of y is
Next, we need to check if the value of y is a root or not since the given equation is a radical equation. There are cases that the roots are extraneous. Let's check the value of y from the original equation, we have
Since both sides of the equation are equal, therefore, y = 6 is the root of the equation.