zad. 1
[tex]8^5*(0.25)^5:16^{-2}*\sqrt2=\\(2^3)^5*(\frac14)^5:(2^4)^{-2}*2^{\frac12}=\\2^8*((\frac12)^2)^5:2^{-8}*2^{0.5}=\\2^8*(2^{-1})^{10}:2^{-8}*2^{0.5}=\\2^8*2^{-10}:2^{-8}*2^{0.5}=\\2^{8+(-10)-(-8)+0.5}=\\2^{8-10+8+0.5}=\\2^{-2+8+0.5}=\\2^{6+0.5}=\\2^{6.5}[/tex]
Zad. 2
[tex](4-\sqrt5)(4+\sqrt5)+(\sqrt5+1)^2=\\4^2-(\sqrt5)^2+(\sqrt5)^2+2\sqrt5+1=\\16-5+5+2\sqrt5+1=\\17+2\sqrt5[/tex]
Zad. 3
[tex](x-5)^2+(2x-3)(2x+3)+10x=\\x^2-10x+25+(2x)^2-3^2+10x=\\x^2-10x+25+4x^2-9+10x=\\5x^2+16[/tex]
Zad. 4
[tex]5x^2+16=5*(2\sqrt6)^2+16=5*24+16=120+16=136[/tex]
