Issolvi (2sqrt{3}+3sqrt{2})*(-sqrt{6})

$$( 2 \sqrt { 3 } + 3 \sqrt { 2 } ) \times ( - \sqrt { 6 } )$$

Evalwa

$$-6\sqrt{2}-6\sqrt{3}\approx -18.87758622$$

Passi tas-Soluzzjonijiet

Uża l-propjetà distributtiva biex timmultiplika 2\sqrt{3}+3\sqrt{2} b'-\sqrt{6}.

$$2\sqrt{3}\left(-\sqrt{6}\right)+3\sqrt{2}\left(-\sqrt{6}\right)$$

Immultiplika 2 u -1 biex tikseb -2.

$$-2\sqrt{3}\sqrt{6}+3\sqrt{2}\left(-1\right)\sqrt{6}$$

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}.

$$-2\sqrt{3}\sqrt{3}\sqrt{2}+3\sqrt{2}\left(-1\right)\sqrt{6}$$

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

$$-2\times 3\sqrt{2}+3\sqrt{2}\left(-1\right)\sqrt{6}$$

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}.

$$-2\times 3\sqrt{2}+3\sqrt{2}\left(-1\right)\sqrt{2}\sqrt{3}$$

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

$$-2\times 3\sqrt{2}+3\times 2\left(-1\right)\sqrt{3}$$

Immultiplika 3 u 2 biex tikseb 6.

$$-2\times 3\sqrt{2}+6\left(-1\right)\sqrt{3}$$

Immultiplika 6 u -1 biex tikseb -6.

$$-2\times 3\sqrt{2}-6\sqrt{3}$$

Immultiplika -2 u 3 biex tikseb -6.

$$-6\sqrt{2}-6\sqrt{3}$$

Fattur

$$6 {(-\sqrt{2} - \sqrt{3})} = -18.87758622$$