2/sqrt{3}-sqrt{2} eching

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

Baholash

$$\frac{\sqrt{2}\left(\sqrt{6}-3\right)}{3}\approx -0,259513024$$

Qisqa yechim qadamlari

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

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

\sqrt{3} kvadrati – 3.

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

Ifodalarni qo‘shish yoki ayirish uchun ularni yoyib, maxrajlarini bir xil qiling. \sqrt{2} ni \frac{3}{3} marotabaga ko'paytirish.

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

\frac{2\sqrt{3}}{3} va \frac{3\sqrt{2}}{3} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

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

Omil

$$\frac{\sqrt{2} {(\sqrt{2} \sqrt{3} - 3)}}{3} = -0,2595130239938434$$