Datrys y=2(sqrt{360}+2sqrt{2}*sqrt{405})+3(sqrt{810}-sqrt{20}*sqrt{162})

$$y = 2 ( \sqrt { 360 } + 2 \sqrt { 2 } \cdot \sqrt { 405 } ) + 3 ( \sqrt { 810 } - \sqrt { 20 } \cdot \sqrt { 162 } )$$

Datrys ar gyfer y

$$y=21\sqrt{10}\approx 66.407830864$$

Camau ar gyfer Datrys Hafaliad Llinol

Ffactora 360=6^{2}\times 10. Ailysgrifennu ail isradd y lluoswm \sqrt{6^{2}\times 10} fel lluoswm ail israddau \sqrt{6^{2}}\sqrt{10}. Cymryd isradd 6^{2}.

$$y=2\left(6\sqrt{10}+2\sqrt{2}\sqrt{405}\right)+3\left(\sqrt{810}-\sqrt{20}\sqrt{162}\right)$$

Ffactora 405=9^{2}\times 5. Ailysgrifennu ail isradd y lluoswm \sqrt{9^{2}\times 5} fel lluoswm ail israddau \sqrt{9^{2}}\sqrt{5}. Cymryd isradd 9^{2}.

$$y=2\left(6\sqrt{10}+2\sqrt{2}\times 9\sqrt{5}\right)+3\left(\sqrt{810}-\sqrt{20}\sqrt{162}\right)$$

Lluosi 2 a 9 i gael 18.

$$y=2\left(6\sqrt{10}+18\sqrt{2}\sqrt{5}\right)+3\left(\sqrt{810}-\sqrt{20}\sqrt{162}\right)$$

I luosi \sqrt{2} a \sqrt{5}, dylid lluosi'r rhifau dan yr ail isradd.

$$y=2\left(6\sqrt{10}+18\sqrt{10}\right)+3\left(\sqrt{810}-\sqrt{20}\sqrt{162}\right)$$

Cyfuno 6\sqrt{10} a 18\sqrt{10} i gael 24\sqrt{10}.

$$y=2\times 24\sqrt{10}+3\left(\sqrt{810}-\sqrt{20}\sqrt{162}\right)$$

Lluosi 2 a 24 i gael 48.

$$y=48\sqrt{10}+3\left(\sqrt{810}-\sqrt{20}\sqrt{162}\right)$$

Ffactora 810=9^{2}\times 10. Ailysgrifennu ail isradd y lluoswm \sqrt{9^{2}\times 10} fel lluoswm ail israddau \sqrt{9^{2}}\sqrt{10}. Cymryd isradd 9^{2}.

$$y=48\sqrt{10}+3\left(9\sqrt{10}-\sqrt{20}\sqrt{162}\right)$$

Ffactora 20=2^{2}\times 5. Ailysgrifennu ail isradd y lluoswm \sqrt{2^{2}\times 5} fel lluoswm ail israddau \sqrt{2^{2}}\sqrt{5}. Cymryd isradd 2^{2}.

$$y=48\sqrt{10}+3\left(9\sqrt{10}-2\sqrt{5}\sqrt{162}\right)$$

Ffactora 162=9^{2}\times 2. Ailysgrifennu ail isradd y lluoswm \sqrt{9^{2}\times 2} fel lluoswm ail israddau \sqrt{9^{2}}\sqrt{2}. Cymryd isradd 9^{2}.

$$y=48\sqrt{10}+3\left(9\sqrt{10}-2\sqrt{5}\times 9\sqrt{2}\right)$$

Lluosi 2 a 9 i gael 18.

$$y=48\sqrt{10}+3\left(9\sqrt{10}-18\sqrt{5}\sqrt{2}\right)$$

I luosi \sqrt{5} a \sqrt{2}, dylid lluosi'r rhifau dan yr ail isradd.

$$y=48\sqrt{10}+3\left(9\sqrt{10}-18\sqrt{10}\right)$$

Cyfuno 9\sqrt{10} a -18\sqrt{10} i gael -9\sqrt{10}.

$$y=48\sqrt{10}+3\left(-9\right)\sqrt{10}$$

Lluosi 3 a -9 i gael -27.

$$y=48\sqrt{10}-27\sqrt{10}$$

Cyfuno 48\sqrt{10} a -27\sqrt{10} i gael 21\sqrt{10}.

$$y=21\sqrt{10}$$

Neilltuo y

$$y≔21\sqrt{10}$$