SOLUTION: Express irrational solutions in simplest radical form (n-5)^2 = 20 I get {4, 4} is this right?

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Question 203290This question is from textbook
: Express irrational solutions in simplest radical form
(n-5)^2 = 20
I get {4, 4} is this right?
This question is from textbook

Answer by Edwin McCravy(20054) About Me  (Show Source):
You can put this solution on YOUR website!


No that's wrong.

%28n-5%29%5E2+=+20

Take square roots of both sides, remembering that there
are two square roots of any positive number, a positive
suare root and a negative square root:

sqrt%28%28n-5%29%5E2%29+=+sqrt%2820%29 and sqrt%28%28n-5%29%5E2%29+=+-sqrt%2820%29

n-5+=+sqrt%284%2A5%29   and n-5+=+-sqrt%284%2A5%29 

n-5+=+2sqrt%285%29    and n-5+=+-2sqrt%285%29 

n=5+%2B+2sqrt%285%29    and n=+5-2sqrt%285%29

Solution set = (5%2B2sqrt%285%29,5-2sqrt%285%29)

Edwin