III.
a)
[tex](\sqrt{(-5)^{2} })^{3}=5^{3}=125[/tex]
b)
[tex](2\sqrt{7} )^{2} +\sqrt[3]{729}=4*7+9=28+9=37[/tex]
c)
[tex](\frac{2}{3}\sqrt{3})^{3}=(\frac{2\sqrt{3} }{3} )^{3}=\frac{8*3\sqrt{3} }{27}=\frac{8\sqrt{3} }{9}[/tex]
d)
[tex]3\sqrt{32}+5\sqrt{18}=3*2^{2} \sqrt{2}+15\sqrt{2}=3*4\sqrt{2}+15\sqrt{2}=12\sqrt{2}+15\sqrt{2}=27\sqrt{2}[/tex]
