Issolvi -4/3sqrt{18}div2sqrt{8}*3

$$- \frac { 4 } { 3 } \sqrt { 18 } \div 2 \sqrt { 8 } \times 3$$

Evalwa

$$-24$$

Passi tas-Soluzzjonijiet

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}.

$$3\times \frac{-\frac{4}{3}\times 3\sqrt{2}}{2}\sqrt{8}$$

Annulla 3 u 3.

$$3\times \frac{-4\sqrt{2}}{2}\sqrt{8}$$

Iddividi -4\sqrt{2} b'2 biex tikseb-2\sqrt{2}.

$$3\left(-2\right)\sqrt{2}\sqrt{8}$$

Immultiplika 3 u -2 biex tikseb -6.

$$-6\sqrt{2}\sqrt{8}$$

Iffattura 8=2^{2}\times 2. Erġa' ikteb l-għerq kwadrat tal-prodott \sqrt{2^{2}\times 2} bħala l-prodott tal-għeruq kwadrati \sqrt{2^{2}}\sqrt{2}. Ħu l-għerq kwadrat ta' 2^{2}.

$$-6\sqrt{2}\times 2\sqrt{2}$$

Immultiplika -6 u 2 biex tikseb -12.

$$-12\sqrt{2}\sqrt{2}$$

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

$$-12\times 2$$

Immultiplika -12 u 2 biex tikseb -24.

$$-24$$

Fattur

$$-24$$