Datrys sqrt{75}-2sqrt{2}*sqrt{24}

$$\sqrt { 75 } - 2 \sqrt { 2 } \times \sqrt { 24 }$$

Enrhifo

$$-3\sqrt{3}\approx -5.196152423$$

Camau Ateb

Ffactora 75=5^{2}\times 3. Ailysgrifennu ail isradd y lluoswm \sqrt{5^{2}\times 3} fel lluoswm ail israddau \sqrt{5^{2}}\sqrt{3}. Cymryd isradd 5^{2}.

$$5\sqrt{3}-2\sqrt{2}\sqrt{24}$$

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

$$5\sqrt{3}-2\sqrt{2}\sqrt{2}\sqrt{12}$$

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

$$5\sqrt{3}-2\times 2\sqrt{12}$$

Lluosi 2 a 2 i gael 4.

$$5\sqrt{3}-4\sqrt{12}$$

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}.

$$5\sqrt{3}-4\times 2\sqrt{3}$$

Lluosi 4 a 2 i gael 8.

$$5\sqrt{3}-8\sqrt{3}$$

Cyfuno 5\sqrt{3} a -8\sqrt{3} i gael -3\sqrt{3}.

$$-3\sqrt{3}$$