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

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Homework Help Overview

The discussion revolves around the addition of square roots, specifically the expressions sqrt(25) + sqrt(30) and sqrt(22) + sqrt(30). Participants express confusion regarding the simplification and addition of these square roots, particularly when dealing with non-perfect squares.

Discussion Character

  • Exploratory, Conceptual clarification, Problem interpretation

Approaches and Questions Raised

  • Participants question how to express square roots in different forms and explore the addition of square roots that are not perfect squares. There is a discussion about whether simplifications can lead to a simpler expression.

Discussion Status

The discussion is ongoing, with participants sharing their attempts and questioning the validity of their approaches. Some guidance has been offered regarding the limitations of simplifying square roots, but no consensus has been reached on a definitive method for addition.

Contextual Notes

Participants are navigating the complexities of adding square roots, particularly when one or more terms are not perfect squares. There is an acknowledgment of the challenges posed by coefficients outside the radicals.

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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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