SOLUTION: (12 square root 60 - 14 square root 21) divide by 2 square root 3

Algebra ->  Radicals -> SOLUTION: (12 square root 60 - 14 square root 21) divide by 2 square root 3       Log On


   

Question 971139: (12 square root 60 - 14 square root 21) divide by 2 square root 3
Answer by josh_jordan(263) About Me  (Show Source):
You can put this solution on YOUR website!
%2812%2Asqrt%2860%29-14%2Asqrt%2821%29%29%2F%282%2Asqrt%283%29%29

1) The numerator can have 2%2Asqrt%283%29 extracted from it. This will give us:

2%2Asqrt%283%29%2A%286%2Asqrt%2820%29-7%2Asqrt%287%29%29%29%2F%282%2Asqrt%283%29 in the numerator.

2) The 2%2Asqrt%283%29 in the numerator will cancel out the 2%2Asqrt%283%29 in the denominator. This will give us:

6%2Asqrt%2820%29-7%2Asqrt%287%29

3) 6%2Asqrt%2820%29 can be further reduced:

6%2Asqrt%284%2A5%29 -----> 6%2A2%2Asqrt%285%29 -----> 12%2Asqrt%285%29

4. 7%2Asqrt%287%29 cannot be reduced any further. Therefore, our final answer is:

12%2Asqrt%285%29-7%2Asqrt%287%29