zadanie 1
a)
[tex]\sqrt{3^{2} } =\sqrt{9} =3\\\sqrt{(-3)^{2} } =\sqrt{9} = 3\\\sqrt[3]{3^{3} } =\sqrt[3]{27} = 3\\\sqrt[3]{(-3)^{3} } =\sqrt[3]{-27} = -3\\[/tex]
b)
[tex]\sqrt{7^{2} } =\sqrt{49}=7\\ \sqrt{(-7)^{2} }=\sqrt{49}=7\\\\\\sqrt[3]{2^{3} } =\sqrt[3]{8} =2\\ \sqrt[3]{(-2)^{3} } =\sqrt[3]{-8} =-2\\\[/tex]
c)
[tex]\sqrt{12^{2} } =\sqrt{144} =12\\\sqrt{(-12)^{2} } =\sqrt{144} =12\\\sqrt[3]{10^{3} } =\sqrt[3]{1000} =10\\\sqrt[3]{(-10)^{3}} =\sqrt[3]{-1000} =-10\\[/tex]
zadanie 2
a)
[tex]\frac{1}{\sqrt{5} } =\frac{1}{\sqrt{5} }*\frac{\sqrt{5} }{\sqrt{5}} = \frac{\sqrt{5} }{5}[/tex]
b) [tex]\frac{4}{\sqrt{11} } * \frac{\sqrt{11} }{\sqrt{11} } =\frac{4\sqrt{11} }{11}[/tex]
c) [tex]\frac{4}{\sqrt{2} } = \frac{4}{\sqrt{2} } * \frac{\sqrt{2} }{\sqrt{2}} =\frac{4\sqrt{2} }{2} =2\sqrt{2}[/tex]
d)[tex]\frac{6}{\sqrt{3} } = \frac{6}{\sqrt{3} } *\frac{\sqrt{3} }{\sqrt{3} } =\frac{6\sqrt{3} }{3} = 2\sqrt{3}[/tex]
e)[tex]\frac{3}{2\sqrt{7} } =\frac{3}{2\sqrt{7} } *\frac{\sqrt{7} }{\sqrt{7}} =\frac{3\sqrt{7}}{2*7} =\frac{3\sqrt{7}}{14}[/tex]
f)[tex]\frac{9}{2\sqrt{3} } =\frac{9}{2\sqrt{3} } *\frac{\sqrt{3} }{\sqrt{3} } =\frac{9\sqrt{3} }{2*3} =\frac{9\sqrt{3} }{6} =\frac{3\sqrt{3} }{2}[/tex]
zadanie 3
[tex]\frac{3}{\sqrt{15} } =\frac{3\sqrt{15} }{\sqrt{15}*\sqrt{15} } =\frac{3*\sqrt{15} }{15} =\frac{\sqrt{15} }{5}[/tex] S
[tex]\frac{15}{\sqrt{3} } =\frac{15*\sqrt{3} }{\sqrt{3}*\sqrt{3} } =\frac{15\sqrt{3} }{3} =5\sqrt{3}[/tex] Z
[tex]\frac{1}{\sqrt{15} } =\frac{1*\sqrt{15} }{\sqrt{15}*\sqrt{15} } =\frac{\sqrt{15} }{15}[/tex] A
[tex]\frac{15}{\sqrt{15} } =\frac{15*\sqrt{15} }{\sqrt{15} *\sqrt{15} } =\frac{15\sqrt{15} }{15} =\sqrt{15}[/tex] L
[tex]\frac{5}{\sqrt{15} } =\frac{5\sqrt{15} }{\sqrt{15}*\sqrt{15} } =\frac{5\sqrt{15} }{15} =\frac{\sqrt{15} }{3}[/tex] K
[tex]\frac{15}{\sqrt{5} } =\frac{15\sqrt{5} }{\sqrt{5} *\sqrt{5} }=\frac{15\sqrt{5} }{5} =3\sqrt{5}[/tex] I
