Issolvi left(sqrt{600}+sqrt{6}-sqrt{24}right)*sqrt{6}

$$\left( \sqrt{ 600 } + \sqrt{ 6 } - \sqrt{ 24 } \right) \times \sqrt{ 6 }$$

Evalwa

$$54$$

Passi tas-Soluzzjonijiet

Iffattura 600=10^{2}\times 6. Erġa' ikteb l-għerq kwadrat tal-prodott \sqrt{10^{2}\times 6} bħala l-prodott tal-għeruq kwadrati \sqrt{10^{2}}\sqrt{6}. Ħu l-għerq kwadrat ta' 10^{2}.

$$\left(10\sqrt{6}+\sqrt{6}-\sqrt{24}\right)\sqrt{6}$$

Ikkombina 10\sqrt{6} u \sqrt{6} biex tikseb 11\sqrt{6}.

$$\left(11\sqrt{6}-\sqrt{24}\right)\sqrt{6}$$

Iffattura 24=2^{2}\times 6. Erġa' ikteb l-għerq kwadrat tal-prodott \sqrt{2^{2}\times 6} bħala l-prodott tal-għeruq kwadrati \sqrt{2^{2}}\sqrt{6}. Ħu l-għerq kwadrat ta' 2^{2}.

$$\left(11\sqrt{6}-2\sqrt{6}\right)\sqrt{6}$$

Ikkombina 11\sqrt{6} u -2\sqrt{6} biex tikseb 9\sqrt{6}.

$$9\sqrt{6}\sqrt{6}$$

Immultiplika \sqrt{6} u \sqrt{6} biex tikseb 6.

$$9\times 6$$

Immultiplika 9 u 6 biex tikseb 54.

$$54$$

Fattur

$$2\times 3^{3}$$