SOLUTION: root7(x)(root7(x^(55))-root7(x^(41)))=

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Question 610027: root7(x)(root7(x^(55))-root7(x^(41)))=
Answer by jsmallt9(3758) About Me  (Show Source):
You can put this solution on YOUR website!
root%287%2C+x%29%28root%287%2C+x%5E%2855%29%29-root%287%2C+x%5E%2841%29%29%29
Using the Distributive Property we get:

Using the property of radicals, root%28a%2C+p%29+%2A+root%28a%2C+q%29+=+root%28a%2C+p%2Aq%29, we can multiply these roots:
root%287%2C+x%2Ax%5E%2855%29%29-root%287%2C+x%2Ax%5E%2841%29%29
Using the rule for exponents (add the exponents) to multiply inside the radicals:
root%287%2C+x%5E%2856%29%29-root%287%2C+x%5E%2842%29%29
Simplifying the radicals:
root%287%2C+%28x%5E8%29%5E%287%29%29-root%287%2C+%28x%5E6%29%5E%287%29%29
x%5E8-x%5E6