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Problemi Simili mit-Tiftix tal-Web

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16\left(\sqrt{3}\right)^{2}-16\sqrt{3}\sqrt{6}+4\left(\sqrt{6}\right)^{2}
Uża teorema binomjali \left(a-b\right)^{2}=a^{2}-2ab+b^{2} biex tespandi \left(4\sqrt{3}-2\sqrt{6}\right)^{2}.
16\times 3-16\sqrt{3}\sqrt{6}+4\left(\sqrt{6}\right)^{2}
Il-kwadrat ta' \sqrt{3} huwa 3.
48-16\sqrt{3}\sqrt{6}+4\left(\sqrt{6}\right)^{2}
Immultiplika 16 u 3 biex tikseb 48.
48-16\sqrt{3}\sqrt{3}\sqrt{2}+4\left(\sqrt{6}\right)^{2}
Iffattura 6=3\times 2. Erġa' ikteb l-għerq kwadrat tal-prodott \sqrt{3\times 2} bħala l-prodott tal-għeruq kwadrati \sqrt{3}\sqrt{2}.
48-16\times 3\sqrt{2}+4\left(\sqrt{6}\right)^{2}
Immultiplika \sqrt{3} u \sqrt{3} biex tikseb 3.
48-48\sqrt{2}+4\left(\sqrt{6}\right)^{2}
Immultiplika -16 u 3 biex tikseb -48.
48-48\sqrt{2}+4\times 6
Il-kwadrat ta' \sqrt{6} huwa 6.
48-48\sqrt{2}+24
Immultiplika 4 u 6 biex tikseb 24.
72-48\sqrt{2}
Żid 48 u 24 biex tikseb 72.
16\left(\sqrt{3}\right)^{2}-16\sqrt{3}\sqrt{6}+4\left(\sqrt{6}\right)^{2}
Uża teorema binomjali \left(a-b\right)^{2}=a^{2}-2ab+b^{2} biex tespandi \left(4\sqrt{3}-2\sqrt{6}\right)^{2}.
16\times 3-16\sqrt{3}\sqrt{6}+4\left(\sqrt{6}\right)^{2}
Il-kwadrat ta' \sqrt{3} huwa 3.
48-16\sqrt{3}\sqrt{6}+4\left(\sqrt{6}\right)^{2}
Immultiplika 16 u 3 biex tikseb 48.
48-16\sqrt{3}\sqrt{3}\sqrt{2}+4\left(\sqrt{6}\right)^{2}
Iffattura 6=3\times 2. Erġa' ikteb l-għerq kwadrat tal-prodott \sqrt{3\times 2} bħala l-prodott tal-għeruq kwadrati \sqrt{3}\sqrt{2}.
48-16\times 3\sqrt{2}+4\left(\sqrt{6}\right)^{2}
Immultiplika \sqrt{3} u \sqrt{3} biex tikseb 3.
48-48\sqrt{2}+4\left(\sqrt{6}\right)^{2}
Immultiplika -16 u 3 biex tikseb -48.
48-48\sqrt{2}+4\times 6
Il-kwadrat ta' \sqrt{6} huwa 6.
48-48\sqrt{2}+24
Immultiplika 4 u 6 biex tikseb 24.
72-48\sqrt{2}
Żid 48 u 24 biex tikseb 72.