SOLUTION: simplify 4sqrt16x^4y^5 4sqrt243y^7 assuming the variables represent non-negative numbers a. 6xy^3 b. 2xy^4sqrty3 4sqrt3y 4sqrty^3 c. 6x^2y^2 4sqrt3 d. 6sqrt43xy^3 pleease

Algebra ->  Radicals -> SOLUTION: simplify 4sqrt16x^4y^5 4sqrt243y^7 assuming the variables represent non-negative numbers a. 6xy^3 b. 2xy^4sqrty3 4sqrt3y 4sqrty^3 c. 6x^2y^2 4sqrt3 d. 6sqrt43xy^3 pleease       Log On


   

Question 635741: simplify 4sqrt16x^4y^5 4sqrt243y^7 assuming the variables represent non-negative numbers
a. 6xy^3
b. 2xy^4sqrty3 4sqrt3y 4sqrty^3
c. 6x^2y^2 4sqrt3
d. 6sqrt43xy^3
pleease help!
Found 2 solutions by ewatrrr, MathLover1:
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 

Hi,

Re TY, if d. is 6xy%5E3root%284%2C3%29 that would be the proper selection

root%284%2C16x%5E4y%5E5%29root%284%2C243y%5E7%29

2xy%2Aroot%284%2Cy%5E1%293y%2Aroot%284%2C3y%5E3%29

6xy%5E2root%284%2C3y%5E4%29%29

6xy%5E3root%284%2C3%29%29

Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!
I am not quite sure what is your task, but I assume you need this:
%284%2Asqrt%2816x%5E4y%5E5%29%29%2A+%284sqrt%28243y%5E7%29%29....if yes, this is your solution

4%2A4%2Ax%5E2%2Ay%5E2sqrt%28y%29+%2A4%2A9%5E2%2Ay%5E3%2Asqrt%283y%29
4%2A4%2Ax%5E2%2Ay%5E2sqrt%28y%29%2A+4%2A81%2Ay%5E3%2Asqrt%283%29%2Asqrt%28y%29
4%2A4%2Ax%5E2%2Ay%5E2%2Asqrt%28y%29%2Asqrt%28y%29%2A+4%2A81%2Ay%5E3%2Asqrt%283%29
4%2A4%2Ax%5E2%2Ay%5E2%2Asqrt%28y%29%5E2%2A+4%2A81%2Ay%5E3%2Asqrt%283%29
16%2Ax%5E2%2Ay%5E2%2Ay%2A324%2Ay%5E3%2Asqrt%283%29
16%2A324%2Ax%5E2%2Ay%5E6%2Asqrt%283%29
16%2A324%2Ax%5E2%2Ay%5E6%2Asqrt%283%29
5184%2Ax%5E2%2Ay%5E6%2Asqrt%283%29