SOLUTION: How do I give an example of a binomial in the form a√b+c√d and its conjugate. Then find their product?

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Question 1044936: How do I give an example of a binomial in the form a√b+c√d and its conjugate. Then find their product?
Found 2 solutions by ikleyn, MathTherapy:
Answer by ikleyn(52776) About Me  (Show Source):
You can put this solution on YOUR website!
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How do I give an example of a binomial in the form a√b+c√d and its conjugate. Then find their product?
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For example, sqrt%283%29+%2B+sqrt%282%29  and  sqrt%283%29+-+sqrt%282%29.


Can you find their product? It is 


(sqrt(3) + sqrt(2)(*(sqrt(3) - sqrt(2)) = %28sqrt%283%29%29%5E2+-+%28sqrt%282%29%29%5E2 = 3 - 2 = 1.


Answer by MathTherapy(10551) About Me  (Show Source):
You can put this solution on YOUR website!

How do I give an example of a binomial in the form a√b+c√d and its conjugate. Then find their product?
a+%2A+sqrt%28b%29+%2B+c+%2A+sqrt%28d%29
With a = 1; b= 3, c = 5, d = 7, we get:
Its conjugate: sqrt%283%29+-+5sqrt%287%29
Product: