SOLUTION: Please help me solve this equation (sqrt(x)-sqrt(5))^2

Algebra ->  Square-cubic-other-roots -> SOLUTION: Please help me solve this equation (sqrt(x)-sqrt(5))^2      Log On


   



Question 874324: Please help me solve this equation (sqrt(x)-sqrt(5))^2
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Assuming x%3E=0


%28sqrt%28x%29-sqrt%285%29%29%5E2


%28sqrt%28x%29-sqrt%285%29%29%28sqrt%28x%29-sqrt%285%29%29


sqrt%28x%29%2A%28sqrt%28x%29-sqrt%285%29%29-sqrt%285%29%2A%28sqrt%28x%29-sqrt%285%29%29





sqrt%28x%2Ax%29-sqrt%28x%2A5%29-sqrt%285%2Ax%29%2Bsqrt%285%2A5%29


sqrt%28x%5E2%29-sqrt%285x%29-sqrt%285x%29%2Bsqrt%285%5E2%29


x-sqrt%285x%29-sqrt%285x%29%2B5


x-2%2Asqrt%285x%29%2B5


x%2B5-2%2Asqrt%285x%29


=======================================================


So %28sqrt%28x%29-sqrt%285%29%29%5E2 expands and simplifies to x%2B5-2%2Asqrt%285x%29 (where x%3E=0)