6. a) Wartość ok. 2,65, więc między 2 i 3
b) Wartość ok. -3,87, więc między -4 i -3
c) Wartość ok. -9,22, więc między -10 i -9
d) Wartość ok. 12,73, więc między 12 i 13
e) Wartość ok. -4,22, więc między -5 i -4
f) Wartość ok. 6,26, więc między 6 i 7
7. a) [tex]\sqrt{131^{2} } = 131[/tex]
b) [tex]\sqrt{19}*2*\sqrt{19} =19*2=38[/tex]
c) [tex]\sqrt{3} *\sqrt{6}*\sqrt{2} = \sqrt{3} * \sqrt{3*2} *\sqrt{2} = \sqrt{3} *\sqrt{3} *\sqrt{2}*\sqrt{2} = 3*2=6[/tex]
8. a) [tex]2\sqrt{3} = \sqrt{2^{2}*3 } = \sqrt{4*3 } =\sqrt{12}[/tex]
b) [tex]3\sqrt{3} = \sqrt{3^{2}*3 } = \sqrt{9*3 } =\sqrt{27}[/tex]
c) [tex]5\sqrt{2} = \sqrt{5^{2}*2 } = \sqrt{25*2 } =\sqrt{50}[/tex]
d) [tex]5\sqrt{5} = \sqrt{5^{2}*5 } = \sqrt{25*5 } =\sqrt{125}[/tex]
e) [tex]3\sqrt[3]{3} =\sqrt[3]{3^{3}*3 } = \sqrt[3]{27*3 }=\sqrt[3]{81}[/tex]
f) [tex]10\sqrt[3]{3} =\sqrt[3]{10^{3}*3 } = \sqrt[3]{1000*3 }=\sqrt[3]{3000}[/tex]
9. [tex]a) \frac{4}{\sqrt{2} } *\frac{\sqrt{2}}{\sqrt{2}}=\frac{4\sqrt{2} }{2} = 2\sqrt{2}[/tex]
[tex]b) \frac{3}{2\sqrt{2} } *\frac{\sqrt{2}}{\sqrt{2}}=\frac{3\sqrt{2} }{2*2} = \frac{3\sqrt{2} }{4}[/tex]
[tex]c) \frac{4}{\sqrt{3} } *\frac{\sqrt{3}}{\sqrt{3}}=\frac{4\sqrt{3} }{3}[/tex]
[tex]d) \frac{6}{5\sqrt{3} } *\frac{\sqrt{3}}{\sqrt{3}}=\frac{6\sqrt{3} }{5*3} = \frac{6\sqrt{3} }{15}[/tex]
10. a) Pole = [tex]3\sqrt{2} cm * \sqrt{2} cm = 3*2 cm^{2} = 6 cm^{2}[/tex]
Obwód = [tex]2*3\sqrt{2} cm+2*\sqrt{2} cm = 6\sqrt{2} cm + 2\sqrt{2} cm = 8\sqrt{2} cm[/tex]
b) Pole = [tex]\sqrt{12} cm * \sqrt{3} cm = \sqrt{12*3} cm^{2}= \sqrt{36} cm^{2}= 6 cm^{2}[/tex]
Obwód = [tex]2*\sqrt{12} cm+2*\sqrt{3} cm = 2\sqrt{12} cm + 2\sqrt{3} cm = 2\sqrt{4*3} cm+ 2\sqrt{3} cm = 2\sqrt{2^{2} *3} cm+ 2\sqrt{3} cm = 2*2\sqrt{3} cm+ 2\sqrt{3} cm = 4\sqrt{3} cm + 2\sqrt{3} cm = 6\sqrt{3} cm[/tex]
