SOLUTION: Simplify: {{{sqrt( (sqrt(21)-2sqrt(7))^2)}}}

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Question 1060419: Simplify:

Found 2 solutions by josgarithmetic, ikleyn:
Answer by josgarithmetic(39618)   (Show Source): You can put this solution on YOUR website!
The inside is a trinomial but of known numbers.





All that is inside the square root function.
Answer by ikleyn(52788)   (Show Source): You can put this solution on YOUR website!
.
Simplify:

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ 

  has TWO values.


One value is  .


Another value is   = .


Same  as    has two values.  One is  |a|.  Another is  -|a|.
For any real a =/= 0.


If a = 0, then   = 0  has only one value.

Calculations that "josgarithmetic" does in his response, are absolutely unnecessary.
They do not lead to the simplest form.
In opposite, they require to be simplified further.

So, writing by "josgaritmetic" is totally out of the goal of this assignment.



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