Issolvi 2sqrt{18}-2sqrt{12}+2sqrt{18}

$$2 \sqrt { 18 } - 2 \sqrt { 12 } + 2 \sqrt { 18 }$$

Evalwa

$$4\sqrt{3}\left(\sqrt{6}-1\right)\approx 10.042359518$$

Passi tas-Soluzzjonijiet

Iffattura 18=3^{2}\times 2. Erġa' ikteb l-għerq kwadrat tal-prodott \sqrt{3^{2}\times 2} bħala l-prodott tal-għeruq kwadrati \sqrt{3^{2}}\sqrt{2}. Ħu l-għerq kwadrat ta' 3^{2}.

$$2\times 3\sqrt{2}-2\sqrt{12}+2\sqrt{18}$$

Immultiplika 2 u 3 biex tikseb 6.

$$6\sqrt{2}-2\sqrt{12}+2\sqrt{18}$$

Iffattura 12=2^{2}\times 3. Erġa' ikteb l-għerq kwadrat tal-prodott \sqrt{2^{2}\times 3} bħala l-prodott tal-għeruq kwadrati \sqrt{2^{2}}\sqrt{3}. Ħu l-għerq kwadrat ta' 2^{2}.

$$6\sqrt{2}-2\times 2\sqrt{3}+2\sqrt{18}$$

Immultiplika -2 u 2 biex tikseb -4.

$$6\sqrt{2}-4\sqrt{3}+2\sqrt{18}$$

Iffattura 18=3^{2}\times 2. Erġa' ikteb l-għerq kwadrat tal-prodott \sqrt{3^{2}\times 2} bħala l-prodott tal-għeruq kwadrati \sqrt{3^{2}}\sqrt{2}. Ħu l-għerq kwadrat ta' 3^{2}.

$$6\sqrt{2}-4\sqrt{3}+2\times 3\sqrt{2}$$

Immultiplika 2 u 3 biex tikseb 6.

$$6\sqrt{2}-4\sqrt{3}+6\sqrt{2}$$

Ikkombina 6\sqrt{2} u 6\sqrt{2} biex tikseb 12\sqrt{2}.

$$12\sqrt{2}-4\sqrt{3}$$

Fattur

$$4 \sqrt{3} {(\sqrt{2} \sqrt{3} - 1)} = 10.042359518$$