SOLUTION: The square root of 20x^3y^6z^9 Directions: Simplify. No decimals Answer: 2x^2y^2z^3 Square root 5xy^3z^3

Algebra ->  Radicals -> SOLUTION: The square root of 20x^3y^6z^9 Directions: Simplify. No decimals Answer: 2x^2y^2z^3 Square root 5xy^3z^3      Log On


   

Question 933151: The square root of 20x^3y^6z^9
Directions:
Simplify. No decimals
Answer:
2x^2y^2z^3 Square root 5xy^3z^3
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!
sqrt%2820x%5E3y%5E6z%5E9%29.............write x%5E3 as x%5E2%2Ax, y%5E6 as y%5E2%2Ay%5E2%2Ay%5E2,z%5E9 as z%5E2%2Az%5E2%2Az%5E2%2Az%5E2%2Az, and 20 as 2%5E2%2A5

sqrt%282%5E2%2A5x%5E2%2Ax%2Ay%5E2%2Ay%5E2%2Ay%5E2%2Az%5E2%2Az%5E2%2Az%5E2%2Az%5E2%2Az%29.......sqrt%282%5E2%29=2, same apply to the other variables
2x%2Ay%2Ay%2Ay%2Az%2Az%2Az%2Az%2Asqrt%285xz%29
2x%2Ay%5E3%2Az%5E4%2Asqrt%285xz%29

you have an answer:
2x%5E2y%5E2z%5E3%2Asqrt%285xy%5E3z%5E3%29 and the part sqrt%285xy%5E3z%5E3%29 is not completely simplified; it has sqrt%28y%5E3%29=sqrt%28y%5E2%2Ay%29 which is y%2Asqrt%28y%29 and sqrt%28z%5E3%29 which is z%2Asqrt%28z%29

so, your answer is: highlight%282x%2Ay%5E3%2Az%5E4%2Asqrt%285xz%29%29