SOLUTION: Simplify: (2 time the square root of 5 plus 3 times the square root of 7)^2. Trying to show my work and justify each step: (5 x 5)^2= 25^2=625 (7 x 7 x 7)^2= 343^2= 117,649 11

Algebra ->  Radicals -> SOLUTION: Simplify: (2 time the square root of 5 plus 3 times the square root of 7)^2. Trying to show my work and justify each step: (5 x 5)^2= 25^2=625 (7 x 7 x 7)^2= 343^2= 117,649 11      Log On


   



Question 595976: Simplify: (2 time the square root of 5 plus 3 times the square root of 7)^2. Trying to show my work and justify each step:
(5 x 5)^2= 25^2=625
(7 x 7 x 7)^2= 343^2= 117,649
117,649 + 625 = 118,274
OR:
5 x 5 = 25
7 x 7 x 7 = 343
343 + 25 = 368
368^2= 135,424

Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
Simplify: (2 time the square root of 5 plus 3 times the square root of 7)^2. Trying to show my work and justify each step:
(5 x 5)^2= 25^2=625
(7 x 7 x 7)^2= 343^2= 117,649
117,649 + 625 = 118,274
OR:
5 x 5 = 25
7 x 7 x 7 = 343
343 + 25 = 368
368^2= 135,424
---------------
I think it means:
%282sqrt%285%29+%2B+3sqrt%287%29%29%5E2
= 4%2A5+%2B+12sqrt%285%29%2Asqrt%287%29+%2B+9%2A7
= 83+%2B+12sqrt%2835%29