SOLUTION: also please help me solve for the unknown and show work thanks sqrt (x+11) = sqrt (x) +1

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Question 93424This question is from textbook
: also please help me solve for the unknown and show work thanks
sqrt (x+11) = sqrt (x) +1 This question is from textbook

Answer by psbhowmick(878) About Me  (Show Source):
You can put this solution on YOUR website!
sqrt%28x+%2B+11%29+=+sqrt%28x%29+%2B+1
%28x+%2B+11%29+=+%28sqrt%28x%29+%2B+1%29%7D%5E2 [squaring both sides]
x+%2B+11+=+x+%2B+2sqrt%28x%29+%2B+1
x+%2B+11+-+x+-+1+=+2sqrt%28x%29
10+=+2sqrt%28x%29
sqrt%28x%29+=+10%2F2+=+5
x+=+5%5E2
x+=+25 [again squaring both sides]