Zadanie 2

Oblicz
A) (v2+v8)2
B) (v3+2v6)2
C) (0,2x + v7) (0,2x- v7)



Zadanie 2 Oblicz A V2v82 B V32v62 C 02x V7 02x V7 class=

Odpowiedź :

Odpowiedź:

a)

[tex] (\sqrt{2 } + \sqrt{8} ) {}^{2} = ( \sqrt{2} + \sqrt{8} )( \sqrt{2} + \sqrt{8} ) = \sqrt{4} + \sqrt{16} = 2 + 4 = 6[/tex]

b)

[tex] ( \sqrt{3} + 2 \sqrt{6} ) {}^{2} = ( \sqrt{3} + 2 \ \sqrt{ 6} )( \sqrt{3} + 2 \sqrt{6} ) = \sqrt{9} + 4 \sqrt{36 } = 3 + 4 \times 6 = 3 + 24 = 27[/tex]

c)

[tex]( \sqrt{10} - \sqrt{3} )( \sqrt{10} + \sqrt{3) } = \sqrt{100} - \sqrt{9} = 10 - 3 = 7[/tex]