Datrys 3*sqrt{18}+1/5sqrt{50}-4*sqrt{1/2}

$$3 \times \sqrt { 18 } + \frac { 1 } { 5 } \sqrt { 50 } - 4 \times \sqrt { \frac { 1 } { 2 } }$$

Enrhifo

$$8\sqrt{2}\approx 11.313708499$$

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}.

$$3\times 3\sqrt{2}+\frac{1}{5}\sqrt{50}-4\sqrt{\frac{1}{2}}$$

Lluosi 3 a 3 i gael 9.

$$9\sqrt{2}+\frac{1}{5}\sqrt{50}-4\sqrt{\frac{1}{2}}$$

Ffactora 50=5^{2}\times 2. Ailysgrifennu ail isradd y lluoswm \sqrt{5^{2}\times 2} fel lluoswm ail israddau \sqrt{5^{2}}\sqrt{2}. Cymryd isradd 5^{2}.

$$9\sqrt{2}+\frac{1}{5}\times 5\sqrt{2}-4\sqrt{\frac{1}{2}}$$

Canslo 5 a 5.

$$9\sqrt{2}+\sqrt{2}-4\sqrt{\frac{1}{2}}$$

Cyfuno 9\sqrt{2} a \sqrt{2} i gael 10\sqrt{2}.

$$10\sqrt{2}-4\sqrt{\frac{1}{2}}$$

Ailysgrifennu ail isradd y rhaniad \sqrt{\frac{1}{2}} fel rhaniad ail israddau \frac{\sqrt{1}}{\sqrt{2}}.

$$10\sqrt{2}-4\times \frac{\sqrt{1}}{\sqrt{2}}$$

Cyfrifo ail isradd 1 a chael 1.

$$10\sqrt{2}-4\times \frac{1}{\sqrt{2}}$$

Mae'n rhesymoli enwadur \frac{1}{\sqrt{2}} drwy luosi'r rhifiadur a'r enwadur â \sqrt{2}.

$$10\sqrt{2}-4\times \frac{\sqrt{2}}{\left(\sqrt{2}\right)^{2}}$$

Sgwâr \sqrt{2} yw 2.

$$10\sqrt{2}-4\times \frac{\sqrt{2}}{2}$$

Diddymwch y ffactor cyffredin mwyaf 2 yn 4 a 2.

$$10\sqrt{2}-2\sqrt{2}$$

Cyfuno 10\sqrt{2} a -2\sqrt{2} i gael 8\sqrt{2}.

$$8\sqrt{2}$$