Question 178266
Simplify. Assume that each radical represents a real number.
(√(a-√a) *√(a+√a) )/( √(a-1)) 
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{{{sqrt(a - sqrt(a))*sqrt(a + sqrt(a))/sqrt(a-1)}}}
={{{sqrt((a - sqrt(a))*(a + sqrt(a)))/sqrt(a-1)}}}
={{{(sqrt(a^2 - a))/(sqrt(a-1))}}}
={{{(sqrt(a)*sqrt(a - 1))/(sqrt(a-1))}}}
={{{sqrt(a)}}}