SOLUTION: Can I please get some help on this problem...it is due today and I don't know what I am doing. #94: Simplify each expression (3 x 2 sqrt 7)(3 + 2 sqrt 7)

Algebra ->  Radicals -> SOLUTION: Can I please get some help on this problem...it is due today and I don't know what I am doing. #94: Simplify each expression (3 x 2 sqrt 7)(3 + 2 sqrt 7)      Log On


   

Question 211289This question is from textbook Elementary and Intermediate Algebra, 3e
: Can I please get some help on this problem...it is due today and I don't know what I am doing.
#94: Simplify each expression
(3 x 2 sqrt 7)(3 + 2 sqrt 7) This question is from textbook Elementary and Intermediate Algebra, 3e

Found 2 solutions by Alan3354, jim_thompson5910:
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
(3 * 2 sqrt 7)(3 + 2 sqrt 7)
6sqrt%287%29%2A%283+%2B+2sqrt%287%29%29
= 18sqrt%287%29+%2B+2%2A6%2Asqrt%287%29%2Asqrt%287%29
= 18sqrt%287%29+%2B+2%2A6%2A7
= 18sqrt%287%29+%2B+84

Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
I'm assuming the expression is 3%2A2%2Asqrt%287%29%283%2B2%2Asqrt%287%29%29


3%2A2%2Asqrt%287%29%283%2B2%2Asqrt%287%29%29 Start with the given expression.


6%2Asqrt%287%29%283%2B2%2Asqrt%287%29%29 Multiply


6%2Asqrt%287%29%2A%283%29%2B6%2Asqrt%287%29%2A%282%2Asqrt%287%29%29 Distribute


6%2A3%2Asqrt%287%29%2B6%2A2%2Asqrt%287%29%2Asqrt%287%29 Rearrange the terms.


18%2Asqrt%287%29%2B12%2Asqrt%287%29%2Asqrt%287%29 Multiply


18%2Asqrt%287%29%2B12%2Asqrt%287%2A7%29 Combine the roots.


18%2Asqrt%287%29%2B12%2Asqrt%2849%29 Multiply


18%2Asqrt%287%29%2B12%2A7 Evaluate the square root of 49 to get 7


18%2Asqrt%287%29%2B84 Multiply


84%2B18%2Asqrt%287%29 Rearrange the terms.


So 3%2A2%2Asqrt%287%29%283%2B2%2Asqrt%287%29%29=84%2B18%2Asqrt%287%29