frac{sqrt{3}-sqrt{2}}{sqrt{3}} eching

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

Baholash

$$-\frac{\sqrt{6}}{3}+1\approx 0,183503419$$

Yechim qadamlari

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

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

\sqrt{3} kvadrati – 3.

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

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

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

\sqrt{3} kvadrati – 3.

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

\sqrt{2} va \sqrt{3} ni koʻpaytirish uchun kvadrat ildiz ichidagi sonlarni koʻpaytiring.

$$\frac{3-\sqrt{6}}{3}$$