Datrys sqrt{15}divsqrt{12}*sqrt{3/2}

$$\sqrt { 15 } \div \sqrt { 12 } \times \sqrt { \frac { 3 } { 2 } }$$

Enrhifo

$$\frac{\sqrt{30}}{4}\approx 1.369306394$$

Camau Ateb

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}.

$$\frac{\sqrt{15}}{2\sqrt{3}}\sqrt{\frac{3}{2}}$$

Mae'n rhesymoli enwadur \frac{\sqrt{15}}{2\sqrt{3}} drwy luosi'r rhifiadur a'r enwadur â \sqrt{3}.

$$\frac{\sqrt{15}\sqrt{3}}{2\left(\sqrt{3}\right)^{2}}\sqrt{\frac{3}{2}}$$

Sgwâr \sqrt{3} yw 3.

$$\frac{\sqrt{15}\sqrt{3}}{2\times 3}\sqrt{\frac{3}{2}}$$

Ffactora 15=3\times 5. Ailysgrifennu ail isradd y lluoswm \sqrt{3\times 5} fel lluoswm ail israddau \sqrt{3}\sqrt{5}.

$$\frac{\sqrt{3}\sqrt{5}\sqrt{3}}{2\times 3}\sqrt{\frac{3}{2}}$$

Lluosi \sqrt{3} a \sqrt{3} i gael 3.

$$\frac{3\sqrt{5}}{2\times 3}\sqrt{\frac{3}{2}}$$

Lluosi 2 a 3 i gael 6.

$$\frac{3\sqrt{5}}{6}\sqrt{\frac{3}{2}}$$

Rhannu 3\sqrt{5} â 6 i gael \frac{1}{2}\sqrt{5}.

$$\frac{1}{2}\sqrt{5}\sqrt{\frac{3}{2}}$$

Ailysgrifennu ail isradd y rhaniad \sqrt{\frac{3}{2}} fel rhaniad ail israddau \frac{\sqrt{3}}{\sqrt{2}}.

$$\frac{1}{2}\sqrt{5}\times \frac{\sqrt{3}}{\sqrt{2}}$$

Mae'n rhesymoli enwadur \frac{\sqrt{3}}{\sqrt{2}} drwy luosi'r rhifiadur a'r enwadur â \sqrt{2}.

$$\frac{1}{2}\sqrt{5}\times \frac{\sqrt{3}\sqrt{2}}{\left(\sqrt{2}\right)^{2}}$$

Sgwâr \sqrt{2} yw 2.

$$\frac{1}{2}\sqrt{5}\times \frac{\sqrt{3}\sqrt{2}}{2}$$

I luosi \sqrt{3} a \sqrt{2}, dylid lluosi'r rhifau dan yr ail isradd.

$$\frac{1}{2}\sqrt{5}\times \frac{\sqrt{6}}{2}$$

Lluoswch \frac{1}{2} â \frac{\sqrt{6}}{2} drwy luosi'r rhifiadur â’r rhifiadur a'r enwadur â’r enwadur.

$$\frac{\sqrt{6}}{2\times 2}\sqrt{5}$$

Lluosi 2 a 2 i gael 4.

$$\frac{\sqrt{6}}{4}\sqrt{5}$$

Mynegwch \frac{\sqrt{6}}{4}\sqrt{5} fel ffracsiwn unigol.

$$\frac{\sqrt{6}\sqrt{5}}{4}$$

I luosi \sqrt{6} a \sqrt{5}, dylid lluosi'r rhifau dan yr ail isradd.

$$\frac{\sqrt{30}}{4}$$