Question

[tex]c) ( \sqrt{6}-1)^{2} +( \sqrt{2}+1)^{2} \\
d) ( 2 \sqrt{2}+1)^{2} - ( \sqrt{7}-2)^{2} [/tex]

Answer 1

1)  (a+b)^2 = a^2+2ab+b^2

(√6 - 1)^2 + (√2 + 1)^2 = 6-2√6+1 + 2+2√2+1 = 7-2√6 + 2√2+3 = 2√2+10-2√6

2) (2√2+1)^2 - (√7 -2)^2 = 4*2+4√2+1 - 7+4√7-4 = 9+4√2 - 11+4√7 = -2+4√7+4√2