Issolvi 3sqrt{18}div2sqrt{3}*6sqrt{12}

$$3 \sqrt { 18 } \div 2 \sqrt { 3 } \times 6 \sqrt { 12 }$$

Evalwa

$$162\sqrt{2}\approx 229.102597104$$

Passi tas-Soluzzjonijiet

Iffattura 12=3\times 4. Erġa' ikteb l-għerq kwadrat tal-prodott \sqrt{3\times 4} bħala l-prodott tal-għeruq kwadrati \sqrt{3}\sqrt{4}.

$$6\times \frac{3\sqrt{18}}{2}\sqrt{3}\sqrt{3}\sqrt{4}$$

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

$$6\times \frac{3\sqrt{18}}{2}\times 3\sqrt{4}$$

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}.

$$6\times \frac{3\times 3\sqrt{2}}{2}\times 3\sqrt{4}$$

Immultiplika 3 u 3 biex tikseb 9.

$$6\times \frac{9\sqrt{2}}{2}\times 3\sqrt{4}$$

Immultiplika 6 u 3 biex tikseb 18.

$$18\times \frac{9\sqrt{2}}{2}\sqrt{4}$$

Ikkalkula l-għerq kwadrat ta' 4 u ikseb 2.

$$18\times \frac{9\sqrt{2}}{2}\times 2$$

Immultiplika 18 u 2 biex tikseb 36.

$$36\times \frac{9\sqrt{2}}{2}$$

Ikkanċella l-akbar fattur komuni 2 f'36 u 2.

$$18\times 9\sqrt{2}$$

Immultiplika 18 u 9 biex tikseb 162.

$$162\sqrt{2}$$