frac{frac{sqrt{3}}{2}-18+10sqrt{3}}{sqrt{3}} eching

$$\frac{ \frac{ \sqrt{ 3 } }{ 2 } -18+10 \sqrt{ 3 } }{ \sqrt{ 3 } }$$

Baholash

$$\frac{21}{2}-6\sqrt{3}\approx 0,107695155$$

Yechim qadamlari

\frac{21}{2}\sqrt{3} ni olish uchun \frac{\sqrt{3}}{2} va 10\sqrt{3} ni birlashtirish.

$$\frac{\frac{21}{2}\sqrt{3}-18}{\sqrt{3}}$$

\frac{\frac{21}{2}\sqrt{3}-18}{\sqrt{3}} maxrajini \sqrt{3} orqali surat va maxrajini koʻpaytirish orqali ratsionallashtiring.

$$\frac{\left(\frac{21}{2}\sqrt{3}-18\right)\sqrt{3}}{\left(\sqrt{3}\right)^{2}}$$

\sqrt{3} kvadrati – 3.

$$\frac{\left(\frac{21}{2}\sqrt{3}-18\right)\sqrt{3}}{3}$$

\frac{21}{2}\sqrt{3}-18 ga \sqrt{3} ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$\frac{\frac{21}{2}\sqrt{3}\sqrt{3}-18\sqrt{3}}{3}$$

3 hosil qilish uchun \sqrt{3} va \sqrt{3} ni ko'paytirish.

$$\frac{\frac{21}{2}\times 3-18\sqrt{3}}{3}$$

\frac{21}{2}\times 3 ni yagona kasrga aylantiring.

$$\frac{\frac{21\times 3}{2}-18\sqrt{3}}{3}$$

63 hosil qilish uchun 21 va 3 ni ko'paytirish.

$$\frac{\frac{63}{2}-18\sqrt{3}}{3}$$

Omil

$$\frac{3 {(7 - 4 \sqrt{3})}}{2} = 0,10769515458673684$$