Question 110299
Simplify:
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{{{(root(3,175)/root(3,50))}}}
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You can apply the rules of exponents as shown below:
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{{{(root(3,175)/root(3,50))= root(3,5*5*7)/root(3,5*5*2)= (root(3,5)*root(3,5)*root(3,7))/(root(3,5)*root(3,5)*root(3,2))}}}
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The you can cross out terms in the numerator with the same terms in the denominator as
shown below:
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{{{(cross(root(3,5))*cross(root(3,5))*root(3,7))/(cross(root(3,5))*cross(root(3,5))*root(3,2))}}}
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and you are left with:
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{{{root(3,7)/root(3,2)}}}
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This is a simplified form of the answer. 
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You can use a calculator to calculate the two cube roots and to divide them. If you do that,
you get the numeric answer to be 1.51829448594
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Hope this helps you to understand the problem.
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