Issolvi sqrt{15}sqrt{20}sqrt{24}=

$$\sqrt { 15 } \sqrt { 20 } \sqrt { 24 } =$$

Evalwa

$$60\sqrt{2}\approx 84.852813742$$

Passi tas-Soluzzjonijiet

Iffattura 20=2^{2}\times 5. Erġa' ikteb l-għerq kwadrat tal-prodott \sqrt{2^{2}\times 5} bħala l-prodott tal-għeruq kwadrati \sqrt{2^{2}}\sqrt{5}. Ħu l-għerq kwadrat ta' 2^{2}.

$$\sqrt{15}\times 2\sqrt{5}\sqrt{24}$$

Iffattura 24=2^{2}\times 6. Erġa' ikteb l-għerq kwadrat tal-prodott \sqrt{2^{2}\times 6} bħala l-prodott tal-għeruq kwadrati \sqrt{2^{2}}\sqrt{6}. Ħu l-għerq kwadrat ta' 2^{2}.

$$\sqrt{15}\times 2\sqrt{5}\times 2\sqrt{6}$$

Immultiplika 2 u 2 biex tikseb 4.

$$\sqrt{15}\times 4\sqrt{5}\sqrt{6}$$

Iffattura 15=5\times 3. Erġa' ikteb l-għerq kwadrat tal-prodott \sqrt{5\times 3} bħala l-prodott tal-għeruq kwadrati \sqrt{5}\sqrt{3}.

$$\sqrt{5}\sqrt{3}\times 4\sqrt{5}\sqrt{6}$$

Immultiplika \sqrt{5} u \sqrt{5} biex tikseb 5.

$$5\times 4\sqrt{3}\sqrt{6}$$

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}.

$$5\times 4\sqrt{3}\sqrt{3}\sqrt{2}$$

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

$$5\times 4\times 3\sqrt{2}$$

Immultiplika 5 u 4 biex tikseb 20.

$$20\times 3\sqrt{2}$$

Immultiplika 20 u 3 biex tikseb 60.

$$60\sqrt{2}$$