Issolvi sqrt{8}*sqrt{6}-3sqrt{6}*sqrt{3}+2sqrt{12}

$$\sqrt { 8 } \times \sqrt { 6 } - 3 \sqrt { 6 } \times \sqrt { 3 } + 2 \sqrt { 12 }$$

Evalwa

$$8\sqrt{3}-9\sqrt{2}\approx 1.128484399$$

Passi tas-Soluzzjonijiet

Iffattura 8=2^{2}\times 2. Erġa' ikteb l-għerq kwadrat tal-prodott \sqrt{2^{2}\times 2} bħala l-prodott tal-għeruq kwadrati \sqrt{2^{2}}\sqrt{2}. Ħu l-għerq kwadrat ta' 2^{2}.

$$2\sqrt{2}\sqrt{6}-3\sqrt{6}\sqrt{3}+2\sqrt{12}$$

Iffattura 6=2\times 3. Erġa' ikteb l-għerq kwadrat tal-prodott \sqrt{2\times 3} bħala l-prodott tal-għeruq kwadrati \sqrt{2}\sqrt{3}.

$$2\sqrt{2}\sqrt{2}\sqrt{3}-3\sqrt{6}\sqrt{3}+2\sqrt{12}$$

Immultiplika \sqrt{2} u \sqrt{2} biex tikseb 2.

$$2\times 2\sqrt{3}-3\sqrt{6}\sqrt{3}+2\sqrt{12}$$

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}.

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

Immultiplika \sqrt{3} u \sqrt{3} biex tikseb 3.

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

Immultiplika 3 u 3 biex tikseb 9.

$$2\times 2\sqrt{3}-9\sqrt{2}+2\sqrt{12}$$

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}.

$$2\times 2\sqrt{3}-9\sqrt{2}+2\times 2\sqrt{3}$$

Immultiplika 2 u 2 biex tikseb 4.

$$2\times 2\sqrt{3}-9\sqrt{2}+4\sqrt{3}$$

Immultiplika 2 u 2 biex tikseb 4.

$$4\sqrt{3}-9\sqrt{2}+4\sqrt{3}$$

Ikkombina 4\sqrt{3} u 4\sqrt{3} biex tikseb 8\sqrt{3}.

$$8\sqrt{3}-9\sqrt{2}$$