SOLUTION: Perform the following operations. Assume all variables are positive. a.2√8 − √128 + √48 + √18 b.(2√11 + 1) (√11 − 6)

Algebra ->  Radicals -> SOLUTION: Perform the following operations. Assume all variables are positive. a.2√8 − √128 + √48 + √18 b.(2√11 + 1) (√11 − 6)       Log On


   

Question 1159259: Perform the following operations. Assume all variables are positive.
a.2√8 − √128 + √48 + √18
b.(2√11 + 1) (√11 − 6)
Found 2 solutions by greenestamps, MathTherapy:
Answer by greenestamps(13198) About Me  (Show Source):
You can put this solution on YOUR website!


a.2√8 − √128 + √48 + √18

Simplify the radicals and combine where possible

2sqrt%288%29+=+2sqrt%284%2A2%29+=+2sqrt%284%29%2Asqrt%282%29+=+4%2Asqrt%282%29
sqrt%28128%29+=+sqrt%2864%2A2%29+=+sqrt%2864%29%2Asqrt%282%29+=+8%2Asqrt%282%29
sqrt%2848%29+=+sqrt%2816%2A3%29+=+sqrt%2816%29%2Asqrt%283%29+=+4%2Asqrt%283%29
sqrt%2818%29+=+sqrt%289%2A2%29+=+sqrt%289%29%2Asqrt%282%29+=+3%2Asqrt%282%29

ANSWER: 15%2Asqrt%282%29%2B4%2Asqrt%283%29

b.(2√11 + 1) (√11 − 6)
Use FOIL (more generally, multiply each term of each factor by each term of the other) and combine where possible.

%282%2Asqrt%2811%29%29%2A%28sqrt%2811%29%29+=+2%2A11+=+22
%282%2Asqrt%2811%29%29%2A%28-6%29+=+-12%2Asqrt%2811%29
1%2Asqrt%2811%29+=+sqrt%2811%29
1%28-6%29+=+-6

ANSWER: 22+-+12sqrt%2811%29%2Bsqrt%2811%29-6+=+16-11sqrt%2811%29

Answer by MathTherapy(10551) About Me  (Show Source):
You can put this solution on YOUR website!

Perform the following operations. Assume all variables are positive.
a.2√8 − √128 + √48 + √18
b.(2√11 + 1) (√11 − 6)
a) Correct answer: highlight_green%28+-+sqrt%282%29+%2B+4sqrt%283%29%29