SOLUTION: can you please help me solve the following and express irrational solutions in simplest radical form: ((( (n-5)^2=20 )))

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Question 197967This question is from textbook algebra sturcture and method
: can you please help me solve the following and express irrational solutions in simplest radical form: ((( (n-5)^2=20 ))) This question is from textbook algebra sturcture and method

Found 2 solutions by solver91311, jim_thompson5910:
Answer by solver91311(24713)   (Show Source): You can put this solution on YOUR website!




Take the square root of both sides, considering both the positive and negative square roots:



Solve for the variable:



Find the prime factorization of the radicand:



There are two factors of 2 in the radicand. Eliminate them and take one of them outside:



So:



John
Answer by jim_thompson5910(35256)   (Show Source): You can put this solution on YOUR website!

Start with the given equation.


Take the square root of both sides.


or Break up the "plus/minus" to form two equations.


or Simplify the square root.


or Add to both sides.


--------------------------------------


Answer:


So the solutions are or .
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