Datrys r=10*535134-2217*2489/sqrt{10*695135-(2489)^2-sqrt{10*607741-(2217)^2}}

$$r = \frac { 10 * 535134 - 2217 * 2489 } { \sqrt { 10 * 695135 - ( 2489 ) ^ { 2 } } - \sqrt { 10 * 607741 - ( 2217 ) ^ { 2 } } }$$

Datrys ar gyfer r

$$r = \frac{55591 {(\sqrt{756229} + \sqrt{1162321})}}{135364} \approx 799.887238416$$

Camau ar gyfer Datrys Hafaliad Llinol

Lluosi 10 a 535134 i gael 5351340.

$$r=\frac{5351340-2217\times 2489}{\sqrt{10\times 695135-2489^{2}}-\sqrt{10\times 607741-2217^{2}}}$$

Lluosi 2217 a 2489 i gael 5518113.

$$r=\frac{5351340-5518113}{\sqrt{10\times 695135-2489^{2}}-\sqrt{10\times 607741-2217^{2}}}$$

Tynnu 5518113 o 5351340 i gael -166773.

$$r=\frac{-166773}{\sqrt{10\times 695135-2489^{2}}-\sqrt{10\times 607741-2217^{2}}}$$

Lluosi 10 a 695135 i gael 6951350.

$$r=\frac{-166773}{\sqrt{6951350-2489^{2}}-\sqrt{10\times 607741-2217^{2}}}$$

Cyfrifo 2489 i bŵer 2 a chael 6195121.

$$r=\frac{-166773}{\sqrt{6951350-6195121}-\sqrt{10\times 607741-2217^{2}}}$$

Tynnu 6195121 o 6951350 i gael 756229.

$$r=\frac{-166773}{\sqrt{756229}-\sqrt{10\times 607741-2217^{2}}}$$

Lluosi 10 a 607741 i gael 6077410.

$$r=\frac{-166773}{\sqrt{756229}-\sqrt{6077410-2217^{2}}}$$

Cyfrifo 2217 i bŵer 2 a chael 4915089.

$$r=\frac{-166773}{\sqrt{756229}-\sqrt{6077410-4915089}}$$

Tynnu 4915089 o 6077410 i gael 1162321.

$$r=\frac{-166773}{\sqrt{756229}-\sqrt{1162321}}$$

Mae'n rhesymoli enwadur \frac{-166773}{\sqrt{756229}-\sqrt{1162321}} drwy luosi'r rhifiadur a'r enwadur â \sqrt{756229}+\sqrt{1162321}.

$$r=\frac{-166773\left(\sqrt{756229}+\sqrt{1162321}\right)}{\left(\sqrt{756229}-\sqrt{1162321}\right)\left(\sqrt{756229}+\sqrt{1162321}\right)}$$

Ystyriwch \left(\sqrt{756229}-\sqrt{1162321}\right)\left(\sqrt{756229}+\sqrt{1162321}\right). Gellir trawsnewid lluosi yn wahaniaeth rhwng sgwariau drwy ddefnyddio’r rheol: \left(a-b\right)\left(a+b\right)=a^{2}-b^{2}.

$$r=\frac{-166773\left(\sqrt{756229}+\sqrt{1162321}\right)}{\left(\sqrt{756229}\right)^{2}-\left(\sqrt{1162321}\right)^{2}}$$

Sgwâr \sqrt{756229}. Sgwâr \sqrt{1162321}.

$$r=\frac{-166773\left(\sqrt{756229}+\sqrt{1162321}\right)}{756229-1162321}$$

Tynnu 1162321 o 756229 i gael -406092.

$$r=\frac{-166773\left(\sqrt{756229}+\sqrt{1162321}\right)}{-406092}$$

Rhannu -166773\left(\sqrt{756229}+\sqrt{1162321}\right) â -406092 i gael \frac{55591}{135364}\left(\sqrt{756229}+\sqrt{1162321}\right).

$$r=\frac{55591}{135364}\left(\sqrt{756229}+\sqrt{1162321}\right)$$

Defnyddio’r briodwedd ddosbarthu i luosi \frac{55591}{135364} â \sqrt{756229}+\sqrt{1162321}.

$$r=\frac{55591}{135364}\sqrt{756229}+\frac{55591}{135364}\sqrt{1162321}$$

Neilltuo r

$$r≔\frac{55591\left(\sqrt{756229}+\sqrt{1162321}\right)}{135364}$$