Question

Na Teraz!
Oblicz:
a)(1/2+2√2)^2
b)(6√6-3√3)^2
c)(5√2-√5)(5√2+√5)

Answer 1

a) [tex](\frac{1}{2} +2\sqrt{2})^{2} = \frac{1}{4} + 2\frac{\sqrt{2} }{2} + 2 = 2\frac{1}{4} + \sqrt{2}[/tex]

b) [tex](6\sqrt{6} - 3\sqrt{3})^2 = 36*6 - 2*6\sqrt{6} *3\sqrt{3} + 9*3 = 216 - 36\sqrt{18} + 27 = 243 - 108\sqrt{2}[/tex]

c) [tex](5\sqrt{2} - \sqrt{5})(5\sqrt{2} + \sqrt{5}) = 25*2 - 5 = 50 -5 = 45[/tex]