SOLUTION: How do I give an example of a binomial in the form a√b + c√d and then multiply bytheir conjugate? How do I find their products?

Question 1045313: How do I give an example of a binomial in the form a√b + c√d and then multiply bytheir conjugate? How do I find their products?
Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
2 sqrt (3)+4 sqrt(5)
conjugate is
2 sqrt(3)-4 sqrt(5)
Product is
4*3-8 sqrt (15)+8 sqrt (12)-80=-68-8 sqrt(15)+16 sqrt (3)
The first term squares 2 sqrt(3), which is 4*3
The internal products are written, and 8 sqrt(12)=16 sqrt (3), because sqrt (12)=2 sqrt(3)
The last product is minus 16*5
The conjugate is the same binomials subtracted (or added), so that the first and last radical terms are eliminated.
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SOLUTION: How do I give an example of a binomial in the form a&#8730;b + c&#8730;d and then multiply bytheir conjugate? How do I find their products?

SOLUTION: How do I give an example of a binomial in the form a√b + c√d and then multiply bytheir conjugate? How do I find their products?