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

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

Lahendage ja leidke r

$$r = \frac{55591 {(\sqrt{756229} + \sqrt{1162321})}}{135364} \approx 799,887238416$$

Juhised lineaarvõrrandi lahendamiseks

Korrutage 10 ja 535134, et leida 5351340.

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

Korrutage 2217 ja 2489, et leida 5518113.

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

Lahutage 5518113 väärtusest 5351340, et leida -166773.

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

Korrutage 10 ja 695135, et leida 6951350.

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

Arvutage 2 aste 2489 ja leidke 6195121.

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

Lahutage 6195121 väärtusest 6951350, et leida 756229.

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

Korrutage 10 ja 607741, et leida 6077410.

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

Arvutage 2 aste 2217 ja leidke 4915089.

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

Lahutage 4915089 väärtusest 6077410, et leida 1162321.

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

Ratsionaliseerige korrutades lugeja ja \sqrt{756229}+\sqrt{1162321} nimetaja \frac{-166773}{\sqrt{756229}-\sqrt{1162321}} nimetaja.

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

Mõelge valemile \left(\sqrt{756229}-\sqrt{1162321}\right)\left(\sqrt{756229}+\sqrt{1162321}\right). Korrutustehte saab ruutude vaheks teisendada järgmise reegli abil: \left(a-b\right)\left(a+b\right)=a^{2}-b^{2}.

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

Tõstke \sqrt{756229} ruutu. Tõstke \sqrt{1162321} ruutu.

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

Lahutage 1162321 väärtusest 756229, et leida -406092.

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

Jagage -166773\left(\sqrt{756229}+\sqrt{1162321}\right) väärtusega -406092, et leida \frac{55591}{135364}\left(\sqrt{756229}+\sqrt{1162321}\right).

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

Kasutage distributiivsusomadust, et korrutada \frac{55591}{135364} ja \sqrt{756229}+\sqrt{1162321}.

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

Määra r

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