SOLUTION: What is the square root of 23 plus 4 all over the square root of 23 - 4? {{{(sqrt(23) + 4)/(sqrt(23) - 4)}}}

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Question 85652This question is from textbook Algebra and Trigonometry
: What is the square root of 23 plus 4 all over the square root of 23 - 4?
%28sqrt%2823%29+%2B+4%29%2F%28sqrt%2823%29+-+4%29This question is from textbook Algebra and Trigonometry

Answer by scianci(186) About Me  (Show Source):
You can put this solution on YOUR website!
Multiply the top and bottome by the conjugate of the denominator, which would be sqrt%2823%29+%2B+4:
%28sqrt%2823%29+%2B+4%29%2F%28sqrt%2823%29+-+4%29*%28sqrt%2823%29+%2B+4%29%2F%28sqrt%2823%29+%2B+4%29 =
%28sqrt%2823%29+%2B+4%29%5E2%2F%2823+-+16%29 =
%2823+%2B+8sqrt%2823%29+%2B+16%29%2F7 =
%2839+%2B+8sqrt%2823%29%29%2F7