Let's give a quadratic radical with parameters:
will
The denominator is rational:
Here we use the square difference formula to decompose molecules into factors, and then decompose them! Please note that we cannot multiply the denominator here.
, because
It may be equal to 0, and it is more troublesome to discuss it according to the situation. At this time, we should pay attention to the structural relationship between numerator and denominator!
Extended data
Molecules have physical and chemical effects.
1, molecular rationalization can achieve some size comparisons that are difficult to carry out in the standard form by unifying molecules, and sometimes it can greatly simplify some product operations.
2. High school mathematics uses definitions to prove monotonicity.
3. Calculation of the limit of calculus.
Baidu Encyclopedia-Square Difference Formula
Baidu Encyclopedia-The denominator is rationality