SOLUTION: how do i solve the fourth root of {{{sqrt(4a^2b^5)}}}times the fourth root of {{{sqrt(40a^4 (4)b^10)}}}

Algebra ->  Radicals -> SOLUTION: how do i solve the fourth root of {{{sqrt(4a^2b^5)}}}times the fourth root of {{{sqrt(40a^4 (4)b^10)}}}      Log On


   

Question 65023: how do i solve
the fourth root of sqrt%284a%5E2b%5E5%29times the fourth root of sqrt%2840a%5E4%0D%0A%284%29b%5E10%29
Answer by funmath(2933) About Me  (Show Source):
You can put this solution on YOUR website!
Multiply the things under the radical signs, then look for powers of 4 that can come out of the radical.
the fourth root of sqrt%284a%5E2b%5E5%29times the fourth root of sqrt%2840a%5E4%0D%0A%284%29b%5E10%29
the fourth root of sqrt%28%284a%5E2b%5E5%29%2840a%5E4%284%29b%5E10%29%29
the fourth root of sqrt%28%284a%5E2b%5E5%29%28160a%5E4b%5E10%29%29
the fourth root of sqrt%28640a%5E%282%2B4%29b%5E%285%2B10%29%29
the fourth root of sqrt%28640a%5E6b%5E15%29
the fourth root of sqrt%2816%2A40%2Aa%5E4%2Aa%5E2%2Ab%5E12%2Ab%5E3%29
the fourth root of sqrt%282%5E4%2Aa%5E4%2Ab%5E12%2A40%2Aa%5E2%2Ab%5E3%29
2ab^3 the fourth root of sqrt%2840a%5E2b%5E3%29
If you really meant the fourth root of the square root of ... let me know and I'll edit this.
Happy Calculating!!!