=1/sqrt{3}*1/sqrt{2} eching

$$= \frac { 1 } { \sqrt { 3 } } \cdot \frac { 1 } { \sqrt { 2 } }$$

Baholash

$$\frac{\sqrt{6}}{6}\approx 0,40824829$$

Yechim qadamlari

\frac{1}{\sqrt{3}} maxrajini \sqrt{3} orqali surat va maxrajini koʻpaytirish orqali ratsionallashtiring.

$$\frac{\sqrt{3}}{\left(\sqrt{3}\right)^{2}}\times \frac{1}{\sqrt{2}}$$

\sqrt{3} kvadrati – 3.

$$\frac{\sqrt{3}}{3}\times \frac{1}{\sqrt{2}}$$

\frac{1}{\sqrt{2}} maxrajini \sqrt{2} orqali surat va maxrajini koʻpaytirish orqali ratsionallashtiring.

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

\sqrt{2} kvadrati – 2.

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

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{\sqrt{3}}{3} ni \frac{\sqrt{2}}{2} ga ko‘paytiring.

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

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

$$\frac{\sqrt{6}}{3\times 2}$$

6 hosil qilish uchun 3 va 2 ni ko'paytirish.

$$\frac{\sqrt{6}}{6}$$