T=12432-35/frac{3774{sqrt{52}}} eching

$$T = \frac { 12432 - 35 } { \frac { 3774 } { \sqrt { 52 } } }$$

T uchun yechish

$$T = \frac{12397 \sqrt{13}}{1887} \approx 23,687344548$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

12397 olish uchun 12432 dan 35 ni ayirish.

$$T=\frac{12397}{\frac{3774}{\sqrt{52}}}$$

Faktor: 52=2^{2}\times 13. \sqrt{2^{2}\times 13} koʻpaytmasining kvadrat ildizini \sqrt{2^{2}}\sqrt{13} kvadrat ildizlarining koʻpaytmasi sifatida qayta yozing. 2^{2} ning kvadrat ildizini chiqarish.

$$T=\frac{12397}{\frac{3774}{2\sqrt{13}}}$$

\frac{3774}{2\sqrt{13}} maxrajini \sqrt{13} orqali surat va maxrajini koʻpaytirish orqali ratsionallashtiring.

$$T=\frac{12397}{\frac{3774\sqrt{13}}{2\left(\sqrt{13}\right)^{2}}}$$

\sqrt{13} kvadrati – 13.

$$T=\frac{12397}{\frac{3774\sqrt{13}}{2\times 13}}$$

Surat va maxrajdagi ikkala 2 ni qisqartiring.

$$T=\frac{12397}{\frac{1887\sqrt{13}}{13}}$$

12397 ni \frac{1887\sqrt{13}}{13} ga bo'lish 12397 ga k'paytirish \frac{1887\sqrt{13}}{13} ga qaytarish.

$$T=\frac{12397\times 13}{1887\sqrt{13}}$$

\frac{12397\times 13}{1887\sqrt{13}} maxrajini \sqrt{13} orqali surat va maxrajini koʻpaytirish orqali ratsionallashtiring.

$$T=\frac{12397\times 13\sqrt{13}}{1887\left(\sqrt{13}\right)^{2}}$$

\sqrt{13} kvadrati – 13.

$$T=\frac{12397\times 13\sqrt{13}}{1887\times 13}$$

161161 hosil qilish uchun 12397 va 13 ni ko'paytirish.

$$T=\frac{161161\sqrt{13}}{1887\times 13}$$

24531 hosil qilish uchun 1887 va 13 ni ko'paytirish.

$$T=\frac{161161\sqrt{13}}{24531}$$

\frac{12397}{1887}\sqrt{13} ni olish uchun 161161\sqrt{13} ni 24531 ga bo‘ling.

$$T=\frac{12397}{1887}\sqrt{13}$$

T'ni tayinlash

$$T≔\frac{12397\sqrt{13}}{1887}$$