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Can you help please thanks

 
 Jan 22, 2023
 #1
avatar+118207 
+2

Hi OldTimer

 

\((a+\sqrt b)(c+\sqrt d)\\ =ac+bd+a\sqrt d + c\sqrt b\\ \text{This will only be rational if, and only if, the last two terms cancel each other out ie}\\ a\sqrt d = -c\sqrt b\\ \text{which simplifies to}\\ \frac{c}{a}=-\frac{\sqrt d}{\sqrt b} \)

 
 Jan 22, 2023
 #2
avatar+234 
+1

Thanks for your support Melody & Team

 
 Jan 23, 2023
 #3
avatar+118207 
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You are always welcome OldTimer  :))

 
Melody  Jan 24, 2023

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