Odpowiedź:
33 + 20√2 = ( 5 + 2√2)²
8[tex]\frac{1}{4} + 2\sqrt{2} = ( \frac{1}{2} + 2\sqrt{2} )^2[/tex]
więc
[tex]\sqrt{33 + 20\sqrt{2} } - \sqrt{8\frac{1}{4} +2\sqrt{2} } = ( 5 + 2\sqrt{2} ) - ( \frac{1}{2} +2\sqrt{2} ) = 4,5[/tex] [tex]= \frac{9}{2}[/tex]
Szczegółowe wyjaśnienie:
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Odpowiedź:
33 + 20√2 = ( 5 + 2√2)²
8[tex]\frac{1}{4} + 2\sqrt{2} = ( \frac{1}{2} + 2\sqrt{2} )^2[/tex]
więc
[tex]\sqrt{33 + 20\sqrt{2} } - \sqrt{8\frac{1}{4} +2\sqrt{2} } = ( 5 + 2\sqrt{2} ) - ( \frac{1}{2} +2\sqrt{2} ) = 4,5[/tex] [tex]= \frac{9}{2}[/tex]
Szczegółowe wyjaśnienie: