(1/2√2)^2 - (1/2)^2 + 8 x 1/2√2 x 1/2√2=

(1/2√2)² - (1/2)² + 8 x 1/2√2 x 1/2√2 = 1/4. 2 - 1/4 + 4√2 x 1/2√2
                                                         = 1/2 - 1/4 + (4 x 1/2)(√2 x √2)
                                                         = 1/2 - 1/4 + (2)(2)
                                                         = 1/2 - 1/4 + 4
                                                         = 2/4 - 1/4 + 16/4
                                                         = 17/4
                                                         = 4 ¹/₄