Datrys sqrt{96}-sqrt{24}-3sqrt{54}=

$$\sqrt { 96 } - \sqrt { 24 } - 3 \sqrt { 54 } =$$

Enrhifo

$$-7\sqrt{6}\approx -17.146428199$$

Camau Ateb

Ffactora 96=4^{2}\times 6. Ailysgrifennu ail isradd y lluoswm \sqrt{4^{2}\times 6} fel lluoswm ail israddau \sqrt{4^{2}}\sqrt{6}. Cymryd isradd 4^{2}.

$$4\sqrt{6}-\sqrt{24}-3\sqrt{54}$$

Ffactora 24=2^{2}\times 6. Ailysgrifennu ail isradd y lluoswm \sqrt{2^{2}\times 6} fel lluoswm ail israddau \sqrt{2^{2}}\sqrt{6}. Cymryd isradd 2^{2}.

$$4\sqrt{6}-2\sqrt{6}-3\sqrt{54}$$

Cyfuno 4\sqrt{6} a -2\sqrt{6} i gael 2\sqrt{6}.

$$2\sqrt{6}-3\sqrt{54}$$

Ffactora 54=3^{2}\times 6. Ailysgrifennu ail isradd y lluoswm \sqrt{3^{2}\times 6} fel lluoswm ail israddau \sqrt{3^{2}}\sqrt{6}. Cymryd isradd 3^{2}.

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

Lluosi -3 a 3 i gael -9.

$$2\sqrt{6}-9\sqrt{6}$$

Cyfuno 2\sqrt{6} a -9\sqrt{6} i gael -7\sqrt{6}.

$$-7\sqrt{6}$$