687-19546^2/sqrt{57662} eching

$$687 - 195 \frac { 46 ^ { 2 } } { \sqrt { 57662 } }$$

Baholash

$$-\frac{206310\sqrt{57662}}{28831}+687\approx -1031,325455512$$

Yechim qadamlari

2 daraja ko‘rsatkichini 46 ga hisoblang va 2116 ni qiymatni oling.

$$687-195\times \frac{2116}{\sqrt{57662}}$$

\frac{2116}{\sqrt{57662}} maxrajini \sqrt{57662} orqali surat va maxrajini koʻpaytirish orqali ratsionallashtiring.

$$687-195\times \frac{2116\sqrt{57662}}{\left(\sqrt{57662}\right)^{2}}$$

\sqrt{57662} kvadrati – 57662.

$$687-195\times \frac{2116\sqrt{57662}}{57662}$$

\frac{1058}{28831}\sqrt{57662} ni olish uchun 2116\sqrt{57662} ni 57662 ga bo‘ling.

$$687-195\times \frac{1058}{28831}\sqrt{57662}$$

195\times \frac{1058}{28831} ni yagona kasrga aylantiring.

$$687-\frac{195\times 1058}{28831}\sqrt{57662}$$

206310 hosil qilish uchun 195 va 1058 ni ko'paytirish.

$$687-\frac{206310}{28831}\sqrt{57662}$$

Omil

$$\frac{3 {(6602299 - 68770 \sqrt{57662})}}{28831} = -1031,3254555115366$$