Odpowiedź:
poziom A
e)
[tex]x = \sqrt{ {2}^{2} + {1}^{2} } = \sqrt{4 + 1} = \sqrt{5} [/tex]
f)
[tex]x = \sqrt{ {9}^{2} - {2}^{2} } = \sqrt{81 - 4} = \sqrt{77} [/tex]
poziom B
a)
[tex]x = \sqrt{ {2}^{2} + ( \sqrt{21} {)}^{2} } = \sqrt{4 + 21} = \sqrt{25} = 5[/tex]
b)
[tex]x = \sqrt{( \sqrt{5} {)}^{2} - ( \sqrt{3} {)}^{2} } = \sqrt{5 - 3} = \sqrt{2} [/tex]
c)
[tex]x = \sqrt{( \sqrt{21} {) }^{2} - (2 \sqrt{5} {)}^{2} } = \sqrt{21 - 20} = \sqrt{1 } = 1[/tex]
d)
[tex]x = \sqrt{( \sqrt{8} {)}^{2} + {3}^{2} } = \sqrt{8 + 9} = \sqrt{17} [/tex]
e)
[tex]x = \sqrt{(2 \sqrt{3} {)}^{2} + {2}^{2} } = \sqrt{12 + 4} = \sqrt{16} = 4[/tex]
f)
[tex]x = \sqrt{ {7}^{2} - (3 \sqrt{5} {)}^{2} } = \sqrt{49 - 45} = \sqrt{4 } = 2[/tex]
