SOLUTION: Please someone, Help!!! Simplify. Assume x represents a positive number. Square root of 175x to the 4th power.

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons  -> Quadratic Equation Lesson -> SOLUTION: Please someone, Help!!! Simplify. Assume x represents a positive number. Square root of 175x to the 4th power.      Log On


   

Question 87371: Please someone, Help!!!
Simplify. Assume x represents a positive number.
Square root of 175x to the 4th power.
Found 2 solutions by minsechrist, jim_thompson5910:
Answer by minsechrist(1) About Me  (Show Source):
You can put this solution on YOUR website!
I think the answer is 30625

Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
sqrt%28175%2Ax%5E4%29
sqrt%2825%2A7%2Ax%5E4%29 Factor 175 into 25%2A7

sqrt%2825%2A7%2Ax%5E2%2Ax%5E2%29 Factor x%5E4 into x%5E2%2Ax%5E2

sqrt%2825%29%2Asqrt%287%29%2Asqrt%28x%5E2%29%2Asqrt%28x%5E2%29 Break up the square roots using the identity sqrt%28x%2Ay%29=sqrt%28x%29%2Asqrt%28y%29

5%2Asqrt%287%29%2Asqrt%28x%5E2%29%2Asqrt%28x%5E2%29 Take the square root of the perfect square 25 to get 5

5%2Asqrt%287%29%2Ax%2Ax Take the square root of the perfect squares and x%5E2 to get and x

5%2Asqrt%287%29%2Ax%5E2 Multiply the common terms
5%2Ax%5E2%2Asqrt%287%29 Rearrange the terms
5%2Ax%5E2%2Asqrt%287%29 Group the square root terms