Issolvi sqrt{6}(5sqrt{10}-8)

$$\sqrt { 6 } ( 5 \sqrt { 10 } - 8 )$$

Evalwa

$$\sqrt{6}\left(5\sqrt{10}-8\right)\approx 19.13391552$$

Passi tas-Soluzzjonijiet

Uża l-propjetà distributtiva biex timmultiplika \sqrt{6} b'5\sqrt{10}-8.

$$5\sqrt{6}\sqrt{10}-8\sqrt{6}$$

Biex timmultiplika \sqrt{6} u \sqrt{10}, immultiplika n-numri taħt l-għerq kwadrat.

$$5\sqrt{60}-8\sqrt{6}$$

Iffattura 60=2^{2}\times 15. Erġa' ikteb l-għerq kwadrat tal-prodott \sqrt{2^{2}\times 15} bħala l-prodott tal-għeruq kwadrati \sqrt{2^{2}}\sqrt{15}. Ħu l-għerq kwadrat ta' 2^{2}.

$$5\times 2\sqrt{15}-8\sqrt{6}$$

Immultiplika 5 u 2 biex tikseb 10.

$$10\sqrt{15}-8\sqrt{6}$$