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

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Homework Statement


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


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 [tex]\sqrt{}22[/tex]+[tex]\sqrt{}30[/tex] 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+[tex]\sqrt{}26[/tex])(3-2[tex]\sqrt{}23[/tex]
i simplified it down to 2[tex]\sqrt{}26[/tex]*[tex]\sqrt{}23[/tex]
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.