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Oblicz:
b) pierwiastek z 12,25
c) pierwiastek z 20,25
d) pierwiastek z 30,25

Odpowiedź :

Basetlaviz

[tex]b) \ \sqrt{12,25} = \sqrt{3,5^{2}} = 3,5\\\\c) \ \sqrt{20,25} = \sqrt{4,5^{2}} = 4,5\\\\d) \ \sqrt{30,25} = \sqrt{5,5^{2}} = 5,5[/tex]

AstraySpirit2308viz

Obliczenia

[tex]\sqrt{12,25}=\sqrt{12\frac{25}{100}}=\sqrt{12\frac{1}{4}}=\sqrt{\frac{49}{4}}=\frac{\sqrt{49}}{\sqrt4}=\frac{\sqrt{7^2}}{\sqrt{2^2}}=\frac{7}{2}=3\frac{1}{2}\\\\\sqrt{20,25}=\sqrt{20\frac{25}{100}}=\sqrt{20\frac{1}{4}}=\sqrt{\frac{81}{4}}=\frac{\sqrt{81}}{\sqrt4}=\frac{\sqrt{9^2}}{\sqrt{2^2}}=\frac{9}{2}=4\frac{1}{2}\\\\\sqrt{30,25}=\sqrt{30\frac{25}{100}}=\sqrt{30\frac{1}{4}}=\sqrt{\frac{121}{4}}=\frac{\sqrt{121}}{\sqrt4}=\frac{\sqrt{11^2}}{\sqrt{2^2}}=\frac{11}{2}=5\frac{1}{2}[/tex]

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