Issolvi -6sqrt{8}*2sqrt{6}div4sqrt{27}

$$- 6 \sqrt { 8 } \times 2 \sqrt { 6 } \div 4 \sqrt { 27 }$$

Evalwa

$$-108$$

Passi tas-Soluzzjonijiet

Immultiplika 2 u -6 biex tikseb -12.

$$\frac{-12\sqrt{8}\sqrt{6}}{4}\sqrt{27}$$

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}.

$$\frac{-12\times 2\sqrt{2}\sqrt{6}}{4}\sqrt{27}$$

Immultiplika -12 u 2 biex tikseb -24.

$$\frac{-24\sqrt{2}\sqrt{6}}{4}\sqrt{27}$$

Iffattura 6=2\times 3. Erġa' ikteb l-għerq kwadrat tal-prodott \sqrt{2\times 3} bħala l-prodott tal-għeruq kwadrati \sqrt{2}\sqrt{3}.

$$\frac{-24\sqrt{2}\sqrt{2}\sqrt{3}}{4}\sqrt{27}$$

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

$$\frac{-24\times 2\sqrt{3}}{4}\sqrt{27}$$

Immultiplika -24 u 2 biex tikseb -48.

$$\frac{-48\sqrt{3}}{4}\sqrt{27}$$

Iddividi -48\sqrt{3} b'4 biex tikseb-12\sqrt{3}.

$$-12\sqrt{3}\sqrt{27}$$

Iffattura 27=3^{2}\times 3. Erġa' ikteb l-għerq kwadrat tal-prodott \sqrt{3^{2}\times 3} bħala l-prodott tal-għeruq kwadrati \sqrt{3^{2}}\sqrt{3}. Ħu l-għerq kwadrat ta' 3^{2}.

$$-12\sqrt{3}\times 3\sqrt{3}$$

Immultiplika -12 u 3 biex tikseb -36.

$$-36\sqrt{3}\sqrt{3}$$

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

$$-36\times 3$$

Immultiplika -36 u 3 biex tikseb -108.

$$-108$$

Fattur

$$-108$$