SOLUTION: 2• radicand of 48y^5 power - 3y•radicand of 12y^3 power

Algebra ->  Test -> SOLUTION: 2• radicand of 48y^5 power - 3y•radicand of 12y^3 power      Log On


   

Question 567517: 2• radicand of 48y^5 power - 3y•radicand of 12y^3 power
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
2• radicand of 48y^5 power - 3y•radicand of 12y^3 power
Assume the problem is:
;
2%2Asqrt%2848y%5E5%29+-+3y%2Asqrt%2812y%5E3%29
Factor inside the radicals to reveal some perfect squares
2%2Asqrt%2816%2A3%2Ay%5E2%2Ay%5E2%2Ay%29+-+3y%2Asqrt%284%2A3%2Ay%5E2%2Ay%29
Extract the square root of those squares
4%2Ay%2Ay%2A2%2Asqrt%283y%29+-+2%2Ay%2A3y%2Asqrt%283y%29
which are now like terms
8y%5E2%2Asqrt%283y%29+-+6y%5E2%2Asqrt%283y%29 = 2y%5E2%2Asqrt%283y%29