Evalwa
168\sqrt{22}+3217\approx 4004.98984765
Espandi
168 \sqrt{22} + 3217 = 4004.98984765
Sehem
Ikkupjat fuq il-klibbord
\left(7+6\times 2\sqrt{22}\right)^{2}
Iffattura 88=2^{2}\times 22. Erġa' ikteb l-għerq kwadrat tal-prodott \sqrt{2^{2}\times 22} bħala l-prodott tal-għeruq kwadrati \sqrt{2^{2}}\sqrt{22}. Ħu l-għerq kwadrat ta' 2^{2}.
\left(7+12\sqrt{22}\right)^{2}
Immultiplika 6 u 2 biex tikseb 12.
49+168\sqrt{22}+144\left(\sqrt{22}\right)^{2}
Uża teorema binomjali \left(a+b\right)^{2}=a^{2}+2ab+b^{2} biex tespandi \left(7+12\sqrt{22}\right)^{2}.
49+168\sqrt{22}+144\times 22
Il-kwadrat ta' \sqrt{22} huwa 22.
49+168\sqrt{22}+3168
Immultiplika 144 u 22 biex tikseb 3168.
3217+168\sqrt{22}
Żid 49 u 3168 biex tikseb 3217.
\left(7+6\times 2\sqrt{22}\right)^{2}
Iffattura 88=2^{2}\times 22. Erġa' ikteb l-għerq kwadrat tal-prodott \sqrt{2^{2}\times 22} bħala l-prodott tal-għeruq kwadrati \sqrt{2^{2}}\sqrt{22}. Ħu l-għerq kwadrat ta' 2^{2}.
\left(7+12\sqrt{22}\right)^{2}
Immultiplika 6 u 2 biex tikseb 12.
49+168\sqrt{22}+144\left(\sqrt{22}\right)^{2}
Uża teorema binomjali \left(a+b\right)^{2}=a^{2}+2ab+b^{2} biex tespandi \left(7+12\sqrt{22}\right)^{2}.
49+168\sqrt{22}+144\times 22
Il-kwadrat ta' \sqrt{22} huwa 22.
49+168\sqrt{22}+3168
Immultiplika 144 u 22 biex tikseb 3168.
3217+168\sqrt{22}
Żid 49 u 3168 biex tikseb 3217.
Eżempji
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Integrazzjoni
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Limiti
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