Question

How do you simplify `(\root(3)(x+7) - \sqrt(x+3))/(x^2 - 3x +2)`?

Answer 1

Only denominator can be factorized

Explanation:

Given that

`\frac{\root[3]{x+7}-\sqrt{x+3}}{x^2-3x+2}`

`=\frac{\root[3]{x+7}-\sqrt{x+3}}{x^2-x-2x+2}`

`=\frac{\root[3]{x+7}-\sqrt{x+3}}{(x-1)(x-2)}`