<PRE><B>Question 595976</B>
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
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I think it means:
{{{(2sqrt(5) + 3sqrt(7))^2}}}
= {{{4*5 + 12sqrt(5)*sqrt(7) + 9*7}}}
= {{{83 + 12sqrt(35)}}}
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