SOLUTION: Simplify {{{root(5)}}} {{{((5sqrt(700)-sqrt(7)))^6}}}

Algebra ->  Exponents -> SOLUTION: Simplify {{{root(5)}}} {{{((5sqrt(700)-sqrt(7)))^6}}}      Log On


   

Question 1199223: Simplify root%285%29 %28%285sqrt%28700%29-sqrt%287%29%29%29%5E6
Found 2 solutions by MathLover1, ikleyn:
Answer by MathLover1(20850) About Me  (Show Source):
Answer by ikleyn(52847) About Me  (Show Source):
You can put this solution on YOUR website!
.

root%285%2C%285sqrt%28700%29-sqrt%287%29%29%5E6%29

= root%285%2C%285%2A10sqrt%287%29-sqrt%287%29%29%5E6%29

= root%285%2C%2850sqrt%287%29-sqrt%287%29%29%5E6%29

= root%285%2C%2849sqrt%287%29%29%5E6%29

= root%285%2C%287%5E2%29%5E6%2A7%5E3%29 = root%285%2C7%5E%2812%2B3%29%29 = root%285%2C7%5E15%29 = 7%5E3 = 7*7*7 = 343.

Solved.