Expand (5+3√2)^2. Give your answer in the form (a+b√c), where a and b are integers. Show your working clearly.

Question

Expand (5+3√2)^2. Give your answer in the form (a+b√c), where a and b are integers. Show your working clearly. I need help, please.

Answer 1

(5+3sqrt(2))(5+3sqrt(2))

25+15sqrt(2)+15sqrt(2)+3sqrt(2)*3sqrt(2)

25+30sqrt(2)+18

43+30sqrt(2)