SOLUTION: Can someone help me with this, I have tried several times but end up with the wrong answer. According to the sheet, the answer is 8. ***Use the product property of square roots and

Algebra ->  Square-cubic-other-roots -> SOLUTION: Can someone help me with this, I have tried several times but end up with the wrong answer. According to the sheet, the answer is 8. ***Use the product property of square roots and      Log On


   

Question 32187: Can someone help me with this, I have tried several times but end up with the wrong answer. According to the sheet, the answer is 8. ***Use the product property of square roots and factoring to simplify this expression.
sqrt125 + sqrt45 - (sqrt75 + sqrt27) / sqrt5 - sqrt3
Thank you for your help, Steven
Answer by Fermat(136) About Me  (Show Source):
You can put this solution on YOUR website!

Are you familiar with this?
a^2 - b^2 = (a-b)(a+b)
we simply square root everything to get this product property of square roots.
a+-+b+=+%28sqrt%28a%29-sqrt%28b%29%29%28sqrt%28a%29%2Bsqrt%28b%29%29
We use this product property by multiplying top and bottom of the original expression by %28sqrt%285%29%2Bsqrt%283%29%29. This gives us,


All the square root terms on the top cancel out and we are left with,
%2825-9%29%2F2
16%2F2
8
==