Issolvi 3/2sqrt{20}*(sqrt{15})*(-1/3sqrt{48})

$$\frac { 3 } { 2 } \sqrt { 20 } \times ( \sqrt { 15 } ) \times ( - \frac { 1 } { 3 } \sqrt { 48 } )$$

Evalwa

$$-60$$

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}.

$$\frac{3}{2}\times 2\sqrt{5}\sqrt{15}\left(-\frac{1}{3}\right)\sqrt{48}$$

Annulla 2 u 2.

$$3\sqrt{5}\sqrt{15}\left(-\frac{1}{3}\right)\sqrt{48}$$

Annulla 3 u 3.

$$-\sqrt{5}\sqrt{15}\sqrt{48}$$

Iffattura 48=4^{2}\times 3. Erġa' ikteb l-għerq kwadrat tal-prodott \sqrt{4^{2}\times 3} bħala l-prodott tal-għeruq kwadrati \sqrt{4^{2}}\sqrt{3}. Ħu l-għerq kwadrat ta' 4^{2}.

$$-\sqrt{5}\sqrt{15}\times 4\sqrt{3}$$

Immultiplika -1 u 4 biex tikseb -4.

$$-4\sqrt{5}\sqrt{15}\sqrt{3}$$

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}.

$$-4\sqrt{5}\sqrt{5}\sqrt{3}\sqrt{3}$$

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

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

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

$$-4\times 5\times 3$$

Immultiplika -4 u 5 biex tikseb -20.

$$-20\times 3$$

Immultiplika -20 u 3 biex tikseb -60.

$$-60$$

Fattur

$$-60$$