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

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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)   (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.

We use this product property by multiplying top and bottom of the original expression by . This gives us,


All the square root terms on the top cancel out and we are left with,



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