11501-13^2871286/sqrt{14} eching

$$11501- { 13 }^{ 2 } \frac{ 871286 }{ \sqrt{ 14 } }$$

Baholash

$$-\frac{73623667\sqrt{14}}{7}+11501\approx -39342004,353133552$$

Yechim qadamlari

2 daraja ko‘rsatkichini 13 ga hisoblang va 169 ni qiymatni oling.

$$11501-169\times \frac{871286}{\sqrt{14}}$$

\frac{871286}{\sqrt{14}} maxrajini \sqrt{14} orqali surat va maxrajini koʻpaytirish orqali ratsionallashtiring.

$$11501-169\times \frac{871286\sqrt{14}}{\left(\sqrt{14}\right)^{2}}$$

\sqrt{14} kvadrati – 14.

$$11501-169\times \frac{871286\sqrt{14}}{14}$$

\frac{435643}{7}\sqrt{14} ni olish uchun 871286\sqrt{14} ni 14 ga bo‘ling.

$$11501-169\times \frac{435643}{7}\sqrt{14}$$

169\times \frac{435643}{7} ni yagona kasrga aylantiring.

$$11501-\frac{169\times 435643}{7}\sqrt{14}$$

73623667 hosil qilish uchun 169 va 435643 ni ko'paytirish.

$$11501-\frac{73623667}{7}\sqrt{14}$$

Omil

$$\frac{31 {(2597 - 2374957 \sqrt{14})}}{7} = -39342004,35313355$$