Datrys 1/2sqrt{18}-6sqrt{32}

$$\frac { 1 } { 2 } \sqrt { 18 } - 6 \sqrt { 32 }$$

Enrhifo

$$-\frac{45\sqrt{2}}{2}\approx -31.819805153$$

Camau Ateb

Ffactora 18=3^{2}\times 2. Ailysgrifennu ail isradd y lluoswm \sqrt{3^{2}\times 2} fel lluoswm ail israddau \sqrt{3^{2}}\sqrt{2}. Cymryd isradd 3^{2}.

$$\frac{1}{2}\times 3\sqrt{2}-6\sqrt{32}$$

Lluosi \frac{1}{2} a 3 i gael \frac{3}{2}.

$$\frac{3}{2}\sqrt{2}-6\sqrt{32}$$

Ffactora 32=4^{2}\times 2. Ailysgrifennu ail isradd y lluoswm \sqrt{4^{2}\times 2} fel lluoswm ail israddau \sqrt{4^{2}}\sqrt{2}. Cymryd isradd 4^{2}.

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

Lluosi -6 a 4 i gael -24.

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

Cyfuno \frac{3}{2}\sqrt{2} a -24\sqrt{2} i gael -\frac{45}{2}\sqrt{2}.

$$-\frac{45}{2}\sqrt{2}$$