Datrys sqrt{2015/2016}divsqrt{2016/2017}

$$\sqrt{ \frac{ 2015 }{ 2016 } } \div \sqrt{ \frac{ 2016 }{ 2017 } }$$

Enrhifo

$$\frac{\sqrt{4064255}}{2016}\approx 0.999999877$$

Camau Ateb

Ailysgrifennu ail isradd y rhaniad \sqrt{\frac{2015}{2016}} fel rhaniad ail israddau \frac{\sqrt{2015}}{\sqrt{2016}}.

$$\frac{\frac{\sqrt{2015}}{\sqrt{2016}}}{\sqrt{\frac{2016}{2017}}}$$

Ffactora 2016=12^{2}\times 14. Ailysgrifennu ail isradd y lluoswm \sqrt{12^{2}\times 14} fel lluoswm ail israddau \sqrt{12^{2}}\sqrt{14}. Cymryd isradd 12^{2}.

$$\frac{\frac{\sqrt{2015}}{12\sqrt{14}}}{\sqrt{\frac{2016}{2017}}}$$

Mae'n rhesymoli enwadur \frac{\sqrt{2015}}{12\sqrt{14}} drwy luosi'r rhifiadur a'r enwadur â \sqrt{14}.

$$\frac{\frac{\sqrt{2015}\sqrt{14}}{12\left(\sqrt{14}\right)^{2}}}{\sqrt{\frac{2016}{2017}}}$$

Sgwâr \sqrt{14} yw 14.

$$\frac{\frac{\sqrt{2015}\sqrt{14}}{12\times 14}}{\sqrt{\frac{2016}{2017}}}$$

I luosi \sqrt{2015} a \sqrt{14}, dylid lluosi'r rhifau dan yr ail isradd.

$$\frac{\frac{\sqrt{28210}}{12\times 14}}{\sqrt{\frac{2016}{2017}}}$$

Lluosi 12 a 14 i gael 168.

$$\frac{\frac{\sqrt{28210}}{168}}{\sqrt{\frac{2016}{2017}}}$$

Ailysgrifennu ail isradd y rhaniad \sqrt{\frac{2016}{2017}} fel rhaniad ail israddau \frac{\sqrt{2016}}{\sqrt{2017}}.

$$\frac{\frac{\sqrt{28210}}{168}}{\frac{\sqrt{2016}}{\sqrt{2017}}}$$

Ffactora 2016=12^{2}\times 14. Ailysgrifennu ail isradd y lluoswm \sqrt{12^{2}\times 14} fel lluoswm ail israddau \sqrt{12^{2}}\sqrt{14}. Cymryd isradd 12^{2}.

$$\frac{\frac{\sqrt{28210}}{168}}{\frac{12\sqrt{14}}{\sqrt{2017}}}$$

Mae'n rhesymoli enwadur \frac{12\sqrt{14}}{\sqrt{2017}} drwy luosi'r rhifiadur a'r enwadur â \sqrt{2017}.

$$\frac{\frac{\sqrt{28210}}{168}}{\frac{12\sqrt{14}\sqrt{2017}}{\left(\sqrt{2017}\right)^{2}}}$$

Sgwâr \sqrt{2017} yw 2017.

$$\frac{\frac{\sqrt{28210}}{168}}{\frac{12\sqrt{14}\sqrt{2017}}{2017}}$$

I luosi \sqrt{14} a \sqrt{2017}, dylid lluosi'r rhifau dan yr ail isradd.

$$\frac{\frac{\sqrt{28210}}{168}}{\frac{12\sqrt{28238}}{2017}}$$

Rhannwch \frac{\sqrt{28210}}{168} â \frac{12\sqrt{28238}}{2017} drwy luosi \frac{\sqrt{28210}}{168} â chilydd \frac{12\sqrt{28238}}{2017}.

$$\frac{\sqrt{28210}\times 2017}{168\times 12\sqrt{28238}}$$

Mae'n rhesymoli enwadur \frac{\sqrt{28210}\times 2017}{168\times 12\sqrt{28238}} drwy luosi'r rhifiadur a'r enwadur â \sqrt{28238}.

$$\frac{\sqrt{28210}\times 2017\sqrt{28238}}{168\times 12\left(\sqrt{28238}\right)^{2}}$$

Sgwâr \sqrt{28238} yw 28238.

$$\frac{\sqrt{28210}\times 2017\sqrt{28238}}{168\times 12\times 28238}$$

I luosi \sqrt{28210} a \sqrt{28238}, dylid lluosi'r rhifau dan yr ail isradd.

$$\frac{\sqrt{796593980}\times 2017}{168\times 12\times 28238}$$

Lluosi 168 a 12 i gael 2016.

$$\frac{\sqrt{796593980}\times 2017}{2016\times 28238}$$

Lluosi 2016 a 28238 i gael 56927808.

$$\frac{\sqrt{796593980}\times 2017}{56927808}$$

Ffactora 796593980=14^{2}\times 4064255. Ailysgrifennu ail isradd y lluoswm \sqrt{14^{2}\times 4064255} fel lluoswm ail israddau \sqrt{14^{2}}\sqrt{4064255}. Cymryd isradd 14^{2}.

$$\frac{14\sqrt{4064255}\times 2017}{56927808}$$

Lluosi 14 a 2017 i gael 28238.

$$\frac{28238\sqrt{4064255}}{56927808}$$

Rhannu 28238\sqrt{4064255} â 56927808 i gael \frac{1}{2016}\sqrt{4064255}.

$$\frac{1}{2016}\sqrt{4064255}$$