Datrys 4sqrt{2}-3sqrt{2}*sqrt{24}

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

Enrhifo

$$4\left(\sqrt{2}-3\sqrt{3}\right)\approx -15.127755441$$

Camau Ateb

Ffactora 24=2\times 12. Ailysgrifennu ail isradd y lluoswm \sqrt{2\times 12} fel lluoswm ail israddau \sqrt{2}\sqrt{12}.

$$4\sqrt{2}-3\sqrt{2}\sqrt{2}\sqrt{12}$$

Lluosi \sqrt{2} a \sqrt{2} i gael 2.

$$4\sqrt{2}-3\times 2\sqrt{12}$$

Lluosi 3 a 2 i gael 6.

$$4\sqrt{2}-6\sqrt{12}$$

Ffactora 12=2^{2}\times 3. Ailysgrifennu ail isradd y lluoswm \sqrt{2^{2}\times 3} fel lluoswm ail israddau \sqrt{2^{2}}\sqrt{3}. Cymryd isradd 2^{2}.

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

Lluosi 6 a 2 i gael 12.

$$4\sqrt{2}-12\sqrt{3}$$

Ffactor

$$4 {(\sqrt{2} - 3 \sqrt{3})} = -15.127755441$$