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Combination of Integers and Radicals (Posted on 2025-03-19) Difficulty: 2 of 5
If
  5
----- = A(√B + √C)
5-√24
then find integer values of A, B, and C.

No Solution Yet Submitted by K Sengupta    
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Solution solution | Comment 1 of 3
  5
----- = A(√B + √C) 
5-√24

Multiply numerator and denominator by the conjugate.

5(5+√24)
-----------
(5-√24)(5+√24)

denominator is 1

5(5+√24)  = 5(√25+√24)

(A,B,C) = (5,25,24)

  Posted by Larry on 2025-03-19 08:48:36
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