Issolvi sqrt{15}sqrt{24}sqrt{30}=

$$\sqrt { 15 } \sqrt { 24 } \sqrt { 30 } =$$

Evalwa

$$60\sqrt{3}\approx 103.923048454$$

Passi tas-Soluzzjonijiet

Iffattura 30=15\times 2. Erġa' ikteb l-għerq kwadrat tal-prodott \sqrt{15\times 2} bħala l-prodott tal-għeruq kwadrati \sqrt{15}\sqrt{2}.

$$\sqrt{15}\sqrt{24}\sqrt{15}\sqrt{2}$$

Immultiplika \sqrt{15} u \sqrt{15} biex tikseb 15.

$$15\sqrt{24}\sqrt{2}$$

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}.

$$15\sqrt{2}\sqrt{12}\sqrt{2}$$

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

$$15\times 2\sqrt{12}$$

Immultiplika 15 u 2 biex tikseb 30.

$$30\sqrt{12}$$

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}.

$$30\times 2\sqrt{3}$$

Immultiplika 30 u 2 biex tikseb 60.

$$60\sqrt{3}$$