78945612307782105568555555555555xsqrt{{left(frac{sqrt{555232235}}{2255555}right)}^2} eching

$$78945612307782105568555555555555x \sqrt{ { \left( \frac{ \sqrt{ 555232235 } }{ 2255555 } \right) }^{ 2 } }$$

Baholash

$$\frac{15789122461556421113711111111111\sqrt{555232235}x}{451111}$$

Yechim qadamlari

\frac{\sqrt{555232235}}{2255555}ni darajaga oshirish uchun, surat va maxrajni darajaga oshirib, keyin bo‘ling.

$$78945612307782105568555555555555x\sqrt{\frac{\left(\sqrt{555232235}\right)^{2}}{2255555^{2}}}$$

\sqrt{555232235} kvadrati – 555232235.

$$78945612307782105568555555555555x\sqrt{\frac{555232235}{2255555^{2}}}$$

2 daraja ko‘rsatkichini 2255555 ga hisoblang va 5087528358025 ni qiymatni oling.

$$78945612307782105568555555555555x\sqrt{\frac{555232235}{5087528358025}}$$

\frac{555232235}{5087528358025} ulushini 5 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$78945612307782105568555555555555x\sqrt{\frac{111046447}{1017505671605}}$$

\sqrt{\frac{111046447}{1017505671605}} boʻlinmasining kvadrat ildizini \frac{\sqrt{111046447}}{\sqrt{1017505671605}} kvadrat ildizlarining boʻlinmasi sifatida qayta yozing.

$$78945612307782105568555555555555x\times \frac{\sqrt{111046447}}{\sqrt{1017505671605}}$$

Faktor: 1017505671605=451111^{2}\times 5. \sqrt{451111^{2}\times 5} koʻpaytmasining kvadrat ildizini \sqrt{451111^{2}}\sqrt{5} kvadrat ildizlarining koʻpaytmasi sifatida qayta yozing. 451111^{2} ning kvadrat ildizini chiqarish.

$$78945612307782105568555555555555x\times \frac{\sqrt{111046447}}{451111\sqrt{5}}$$

\frac{\sqrt{111046447}}{451111\sqrt{5}} maxrajini \sqrt{5} orqali surat va maxrajini koʻpaytirish orqali ratsionallashtiring.

$$78945612307782105568555555555555x\times \frac{\sqrt{111046447}\sqrt{5}}{451111\left(\sqrt{5}\right)^{2}}$$

\sqrt{5} kvadrati – 5.

$$78945612307782105568555555555555x\times \frac{\sqrt{111046447}\sqrt{5}}{451111\times 5}$$

\sqrt{111046447} va \sqrt{5} ni koʻpaytirish uchun kvadrat ildiz ichidagi sonlarni koʻpaytiring.

$$78945612307782105568555555555555x\times \frac{\sqrt{555232235}}{451111\times 5}$$

2255555 hosil qilish uchun 451111 va 5 ni ko'paytirish.

$$78945612307782105568555555555555x\times \frac{\sqrt{555232235}}{2255555}$$

78945612307782105568555555555555\times \frac{\sqrt{555232235}}{2255555} ni yagona kasrga aylantiring.

$$\frac{78945612307782105568555555555555\sqrt{555232235}}{2255555}x$$

x ga nisbatan hosilani topish

$$\frac{15789122461556421113711111111111 \sqrt{555232235}}{451111} = 8,247302267676195 \times 10^{29}\frac{444746}{451111} = 8,247302267676195 \times 10^{29}$$