Odpowiedź:
1. a)
[tex] \sqrt{64 } + \sqrt{144} + \sqrt{196} = 8 + 12 + 14 = 34[/tex]
b)
[tex] \sqrt{625 } - \sqrt{225} - \sqrt{400} = 25 - 15 - 20 = - 10 [/tex]
2. a)
[tex] \sqrt[3]{64} = 4 [/tex]
b)
[tex] \sqrt[3]{0.001 } = 0.1[/tex]
c)
[tex] \sqrt[3]{ - 125} = - 5[/tex]
3.
[tex] \sqrt[3]{8000} - \sqrt[ 3]{125} - \sqrt[3]{729} = 20 - 5 - 9 = 6 [/tex]
4.
[tex] p= {a}^{2} \\ {a }^{2} = 9 \times 36 \\ {a }^{2} = 324 \\ a = \sqrt{324 } \\ a = 18 [/tex]
O = 4×a
O = 4×18
O = 72cm
5.a)
[tex] \sqrt{32} = \sqrt{16 \times 2} = 4 \sqrt{2} [/tex]
b)
[tex] \sqrt{75} = \sqrt{25 \times 3} = 5 \sqrt{3} [/tex]
c)
[tex] \sqrt{700} = \sqrt{100 \times 7} = 10 \sqrt{7} [/tex]
6.a)
[tex] \sqrt{20} = \sqrt{4 \times 5} = 2 \sqrt{5} [/tex]
b) Nie da się prościej
c)
[tex]5 \sqrt{13} - \sqrt{13 } = 4 \sqrt{13} [/tex]
d)
[tex] \sqrt{11} + \sqrt{25} = \sqrt{11} + 5[/tex]
