Issolvi (2sqrt{3})-(3sqrt{2})(3sqrt{8})

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

Evalwa

$$2\left(\sqrt{3}-18\right)\approx -32.535898385$$

Passi tas-Soluzzjonijiet

Iffattura 8=2\times 4. Erġa' ikteb l-għerq kwadrat tal-prodott \sqrt{2\times 4} bħala l-prodott tal-għeruq kwadrati \sqrt{2}\sqrt{4}.

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

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

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

Immultiplika 3 u 2 biex tikseb 6.

$$2\sqrt{3}-6\times 3\sqrt{4}$$

Immultiplika 6 u 3 biex tikseb 18.

$$2\sqrt{3}-18\sqrt{4}$$

Ikkalkula l-għerq kwadrat ta' 4 u ikseb 2.

$$2\sqrt{3}-18\times 2$$

Immultiplika 18 u 2 biex tikseb 36.

$$2\sqrt{3}-36$$

Fattur

$$2 {(\sqrt{3} - 18)} = -32.535898385$$