SOLUTION: I need the steps to simplify this square root fraction problem. I thank you for your assistance. Square root of 625x^3 over 25x^6

Algebra ->  Square-cubic-other-roots -> SOLUTION: I need the steps to simplify this square root fraction problem. I thank you for your assistance. Square root of 625x^3 over 25x^6      Log On


   

Question 91111: I need the steps to simplify this square root fraction problem. I thank you for your assistance.
Square root of 625x^3 over 25x^6
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
sqrt%28625x%5E3%2F25x%5E6%29


sqrt%2825x%5E3%2Fx%5E6%29 Divide 625 by 25 to get 25

sqrt%2825x%5E%283-6%29%29 Subtract the exponents

sqrt%2825x%5E-3%29

sqrt%2825%2Fx%5E3%29 Flip the variable with a negative exponent


sqrt%2825%29%2Fsqrt%28x%5E3%29 Break up the square root using the identity sqrt%28x%2Fy%29=sqrt%28x%29%2Fsqrt%28y%29

5%2Fsqrt%28x%5E3%29 Take the square root of 25

5%2Fsqrt%28x%2Ax%5E2%29 Factor x%5E3 into x%2Ax%5E2

5%2F%28sqrt%28x%29%2Asqrt%28x%5E2%29%29 Break up the square root using the identity sqrt%28x%2Ay%29=sqrt%28x%29%2Asqrt%28y%29

5%2F%28sqrt%28x%29%2Ax%29 Take the square root of x%5E2

5%2F%28x%2Asqrt%28x%29%29 Rearrange the terms