I have two equations (assignments, to be accurate) from which I know they are equal:
f__1 := sqrt(4*a^2 + lambda__g^2)*c/(2*lambda__g*a)
f__2 := c*sqrt(1/lambda__g^2 + 1/(4*a^2))
testeq(f__1 = f__2) returns FAIL
verify(f__1, f__2, equal) returns FAIL
simplify(f__1 - f__2, sqrt)
does not return 0 but
-c*(sqrt((4*a^2 + lambda__g^2)/(lambda__g^2*a^2))*lambda__g*a - sqrt(4*a^2 + lambda__g^2))/(2*lambda__g*a)
What is the best method for checking such equalities?
I am sorry for not using the Maple Math input option but fpr such reason it did not accept the expressions in this question. I am sure I made a mistake but I do not know what mistake.
I tested all methods mentioned above with the 1. Binominal equation sucessfully.