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

Algebra ->  Square-cubic-other-roots -> SOLUTION: Simplify: {{{sqrt( ( 2- sqrt( 7 ) )^2)}}}      Log On


   



Question 1059864: Simplify:
sqrt%28+%28+2-+sqrt%28+7+%29+%29%5E2%29

Answer by ikleyn(52873) About Me  (Show Source):
You can put this solution on YOUR website!
.
Simplify:
sqrt%28+%28+2-+sqrt%28+7+%29+%29%5E2%29
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

sqrt%28+%28+2-+sqrt%28+7+%29+%29%5E2%29   has two values.

One is   2-sqrt%287%29.

Another is   -%282-sqrt%287%29%29 = sqrt%287%29-2.


Solved.