Issolvi 4sqrt{2}*3sqrt{24}

$$4 \sqrt{ 2 } \times 3 \sqrt{ 24 }$$

Evalwa

$$48\sqrt{3}\approx 83.138438763$$

Passi tas-Soluzzjonijiet

Iffattura 24=2\times 12. Erġa' ikteb l-għerq kwadrat tal-prodott \sqrt{2\times 12} bħala l-prodott tal-għeruq kwadrati \sqrt{2}\sqrt{12}.

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

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

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

Immultiplika 3 u 4 biex tikseb 12.

$$12\times 2\sqrt{12}$$

Immultiplika 12 u 2 biex tikseb 24.

$$24\sqrt{12}$$

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}.

$$24\times 2\sqrt{3}$$

Immultiplika 24 u 2 biex tikseb 48.

$$48\sqrt{3}$$