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Question: simplify expression under sqrt

Question:simplify expression under sqrt

itsme 774 Maple
simplify simplification sqrt
April 24 2019
1

what's the easiest way to have maple simplify the expression below from 'expr1' to the form of 'desired_form'? mathematica automatically simplifies to that (subjectively of course!) much nicer looking form.

 


 

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restart:
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expr1:=-lambda-(1/2)*kappa__c-gamma__p-(1/2)*sqrt(-16*N*g^2+4*lambda^2-8*lambda*gamma__p+4*lambda*kappa__c+4*gamma__p^2-4*gamma__p*kappa__c+kappa__c^2);

-lambda-(1/2)*kappa__c-gamma__p-(1/2)*(-16*N*g^2+4*lambda^2-8*lambda*gamma__p+4*lambda*kappa__c+4*gamma__p^2-4*gamma__p*kappa__c+kappa__c^2)^(1/2)

 (1)
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desired_form:=1/2*(-2*gamma__p - kappa__c - 2 *lambda - sqrt(-16*N*g^2 + (-2 * gamma__p + kappa__c + 2 * lambda)^2));

-gamma__p-(1/2)*kappa__c-lambda-(1/2)*(-16*N*g^2+(-2*gamma__p+kappa__c+2*lambda)^2)^(1/2)

 (2)
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expr1- desired_form:
simplify(%);

0

 (3)
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