Datrys frac{sqrt{63}+sqrt{28}}{sqrt{150}}*frac{sqrt{384}-sqrt{294}}{sqrt{112}}

$$\frac { \sqrt { 63 } + \sqrt { 28 } } { \sqrt { 150 } } \times \frac { \sqrt { 384 } - \sqrt { 294 } } { \sqrt { 112 } }$$

Enrhifo

$$\frac{1}{4}=0.25$$

Camau Ateb

Ffactora 63=3^{2}\times 7. Ailysgrifennu ail isradd y lluoswm \sqrt{3^{2}\times 7} fel lluoswm ail israddau \sqrt{3^{2}}\sqrt{7}. Cymryd isradd 3^{2}.

$$\frac{3\sqrt{7}+\sqrt{28}}{\sqrt{150}}\times \frac{\sqrt{384}-\sqrt{294}}{\sqrt{112}}$$

Ffactora 28=2^{2}\times 7. Ailysgrifennu ail isradd y lluoswm \sqrt{2^{2}\times 7} fel lluoswm ail israddau \sqrt{2^{2}}\sqrt{7}. Cymryd isradd 2^{2}.

$$\frac{3\sqrt{7}+2\sqrt{7}}{\sqrt{150}}\times \frac{\sqrt{384}-\sqrt{294}}{\sqrt{112}}$$

Cyfuno 3\sqrt{7} a 2\sqrt{7} i gael 5\sqrt{7}.

$$\frac{5\sqrt{7}}{\sqrt{150}}\times \frac{\sqrt{384}-\sqrt{294}}{\sqrt{112}}$$

Ffactora 150=5^{2}\times 6. Ailysgrifennu ail isradd y lluoswm \sqrt{5^{2}\times 6} fel lluoswm ail israddau \sqrt{5^{2}}\sqrt{6}. Cymryd isradd 5^{2}.

$$\frac{5\sqrt{7}}{5\sqrt{6}}\times \frac{\sqrt{384}-\sqrt{294}}{\sqrt{112}}$$

Canslo 5 yn y rhifiadur a'r enwadur.

$$\frac{\sqrt{7}}{\sqrt{6}}\times \frac{\sqrt{384}-\sqrt{294}}{\sqrt{112}}$$

Mae'n rhesymoli enwadur \frac{\sqrt{7}}{\sqrt{6}} drwy luosi'r rhifiadur a'r enwadur â \sqrt{6}.

$$\frac{\sqrt{7}\sqrt{6}}{\left(\sqrt{6}\right)^{2}}\times \frac{\sqrt{384}-\sqrt{294}}{\sqrt{112}}$$

Sgwâr \sqrt{6} yw 6.

$$\frac{\sqrt{7}\sqrt{6}}{6}\times \frac{\sqrt{384}-\sqrt{294}}{\sqrt{112}}$$

I luosi \sqrt{7} a \sqrt{6}, dylid lluosi'r rhifau dan yr ail isradd.

$$\frac{\sqrt{42}}{6}\times \frac{\sqrt{384}-\sqrt{294}}{\sqrt{112}}$$

Ffactora 384=8^{2}\times 6. Ailysgrifennu ail isradd y lluoswm \sqrt{8^{2}\times 6} fel lluoswm ail israddau \sqrt{8^{2}}\sqrt{6}. Cymryd isradd 8^{2}.

$$\frac{\sqrt{42}}{6}\times \frac{8\sqrt{6}-\sqrt{294}}{\sqrt{112}}$$

Ffactora 294=7^{2}\times 6. Ailysgrifennu ail isradd y lluoswm \sqrt{7^{2}\times 6} fel lluoswm ail israddau \sqrt{7^{2}}\sqrt{6}. Cymryd isradd 7^{2}.

$$\frac{\sqrt{42}}{6}\times \frac{8\sqrt{6}-7\sqrt{6}}{\sqrt{112}}$$

Cyfuno 8\sqrt{6} a -7\sqrt{6} i gael \sqrt{6}.

$$\frac{\sqrt{42}}{6}\times \frac{\sqrt{6}}{\sqrt{112}}$$

Ffactora 112=4^{2}\times 7. Ailysgrifennu ail isradd y lluoswm \sqrt{4^{2}\times 7} fel lluoswm ail israddau \sqrt{4^{2}}\sqrt{7}. Cymryd isradd 4^{2}.

$$\frac{\sqrt{42}}{6}\times \frac{\sqrt{6}}{4\sqrt{7}}$$

Mae'n rhesymoli enwadur \frac{\sqrt{6}}{4\sqrt{7}} drwy luosi'r rhifiadur a'r enwadur â \sqrt{7}.

$$\frac{\sqrt{42}}{6}\times \frac{\sqrt{6}\sqrt{7}}{4\left(\sqrt{7}\right)^{2}}$$

Sgwâr \sqrt{7} yw 7.

$$\frac{\sqrt{42}}{6}\times \frac{\sqrt{6}\sqrt{7}}{4\times 7}$$

I luosi \sqrt{6} a \sqrt{7}, dylid lluosi'r rhifau dan yr ail isradd.

$$\frac{\sqrt{42}}{6}\times \frac{\sqrt{42}}{4\times 7}$$

Lluosi 4 a 7 i gael 28.

$$\frac{\sqrt{42}}{6}\times \frac{\sqrt{42}}{28}$$

Lluoswch \frac{\sqrt{42}}{6} â \frac{\sqrt{42}}{28} drwy luosi'r rhifiadur â’r rhifiadur a'r enwadur â’r enwadur.

$$\frac{\sqrt{42}\sqrt{42}}{6\times 28}$$

Lluosi \sqrt{42} a \sqrt{42} i gael 42.

$$\frac{42}{6\times 28}$$

Lluosi 6 a 28 i gael 168.

$$\frac{42}{168}$$

Lleihau'r ffracsiwn \frac{42}{168} i'r graddau lleiaf posib drwy dynnu a chanslo allan 42.

$$\frac{1}{4}$$

Ffactor

$$\frac{1}{2 ^ {2}} = 0.25$$