SOLUTION: simplify and assume x represents a positive number (rad)175x^4 i think its 5x(rad)7x^2 am i right?

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Question 122922: simplify and assume x represents a positive number (rad)175x^4 i think its 5x(rad)7x^2 am i right?
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

Start with the given expression


Convert the expression from radical notation to exponent notation. Remember


Rewrite 175 as 175%5E1


Now distribute the exponent Now distribute the outer exponent 1%2F2 to each exponent in the parenthesis. Remember %28x%5Ey%29%5Ez=x%5E%28y%2Az%29

Now multiply the exponents

Reduce

Now convert back to radical notation



Simplify sqrt%28175%29 to get 5%2Asqrt%287%29. Note: If you need help with simplifying square roots, check out this solver.



Answer:

So simplifies to


In other words,