How to solve sqrt(25) + sqrt(30)?

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SUMMARY

The discussion centers on the mathematical expression sqrt(25) + sqrt(30) and how to simplify similar radical expressions. It is established that sqrt(25) simplifies to 5, while sqrt(30) remains as is since it cannot be simplified further. The conversation also explores the addition of non-perfect square radicals, concluding that expressions like sqrt(22) + sqrt(30) cannot be simplified into a single radical form. The participants confirm that while certain manipulations can be performed, such as rewriting sqrt(30) as sqrt(2) * (sqrt(15)), the overall simplification does not yield a simpler result.

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Homework Statement


I'm a bit confused on how to add something like this \sqrt{}25+\sqrt{}30


Homework Equations





The Attempt at a Solution


I know this is an easy thing to do but I am a little confused.
 
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how else could you write root 25??
 


Oh i see. that wasnt a good example. how would you add \sqrt{}22+\sqrt{}30 that is wa better example of what i am trying to say. somthing that is not a perfect square.
 


You can't really express it more simply than it already is. You could write sqrt(2)*(sqrt(11)+sqrt(15)). But that's not really much, if any, simpler.
 


this is a problem I am working on (1+\sqrt{}26)(3-2\sqrt{}23
i simplified it down to 2\sqrt{}26*\sqrt{}23
if it was a normal problem without a number outside the radicals you would just take in both numbers inside a radical and multiply them but there's a 2 outside the radical of 26.
 


If you simplified (1+sqrt(26))*(3-2*sqrt(23)) down to 2*sqrt(26)*sqrt(23), you did it wrong. That's going to be ugly however you write it.
 


so you can't add the two up?
 


Not in any simple way, no.
 

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