# SOLUTION: Hi, Please help me with this one: If {{{ (a + b)^.5 = (a - b)^-.5 }}}, which of the following must be true? The exponent is actually 1/2 (not .5), I just didn't know how to inp

Algebra ->  Algebra  -> Matrices-and-determiminant -> SOLUTION: Hi, Please help me with this one: If {{{ (a + b)^.5 = (a - b)^-.5 }}}, which of the following must be true? The exponent is actually 1/2 (not .5), I just didn't know how to inp      Log On

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 Algebra: Matrices, determinant, Cramer rule Solvers Lessons Answers archive Quiz In Depth

 Question 83881: Hi, Please help me with this one: If , which of the following must be true? The exponent is actually 1/2 (not .5), I just didn't know how to input it using the plot formula. The answer is but I don't know why. Thanks!Answer by stanbon(57967)   (Show Source): You can put this solution on YOUR website!If , which of the following must be true? ---------------- Rewrite as: sqrt(a+b) = 1/sqrt(a-b) Cross-mutiply to get: sqrt(a^2-b^2)=1 Square both sides to get: a^2-b^2 = 1 ================= Cheers, Stan H.