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

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To solve the expression sqrt(25) + sqrt(30), it's noted that while sqrt(25) simplifies to 5, sqrt(30) cannot be simplified further. The discussion highlights that combining these square roots does not yield a simpler expression. An alternative form, such as sqrt(2)*(sqrt(11)+sqrt(15)), is mentioned but is not significantly simpler. Ultimately, the conclusion is that these square roots cannot be added in a straightforward manner.
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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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