How do you simplify # (2+sqrt(x)) / (sqrt(2 x)+sqrt(8)) #?
When working a problem such as this, keep in mind that if we take something (like our denominator) that has the form of
Now for some simplification in the numerator. Remember that
Multiply both the numerator and the denominator by the conjugate of the denominator, which is basically multiplying the expression by
The conjugate is a factor that when multiplied, cancels the middle term. The conjugate of
Use the Radical rules: