1) a - [tex] \sqrt{18} = 3^{2}*2 [/tex]
[tex] \sqrt{27} = 3^{3} [/tex]
[tex] \sqrt{75} = 5^{2} * 3[/tex]
=> [tex]2*3 \sqrt{2} + 3*3 \sqrt{3} + 2*5 \sqrt{3} [/tex] = [tex]6 \sqrt{2} + 9 \sqrt{3} + 10 \sqrt{3} = 6 \sqrt{2} + 19 \sqrt{3} [/tex]
b- [tex] \frac{2}{ \sqrt{6} } = \frac{ 2\sqrt{6} }{6} = \frac{ \sqrt{6} }{3} [/tex]
c) 3-7[tex] \sqrt{5} [/tex]
d) 5
2) ma = [tex] \frac{a+b}{2} = \frac{\sqrt{5} + 16 - \sqrt{5} }{2} = \frac{16}{2} = 8 [/tex]
b) 2-[tex] 2\sqrt{2} [/tex]+1+[tex] 2\sqrt{2} [/tex] = 2+1=3
