2*2frac{sqrt{5}}{2sqrt{3}}= eching

$$2 \times 2 \frac { \sqrt { 5 } } { 2 \sqrt { 3 } } =$$

Baholash

$$\frac{2\sqrt{15}}{3}\approx 2,581988897$$

Yechim qadamlari

4 hosil qilish uchun 2 va 2 ni ko'paytirish.

$$4\times \frac{\sqrt{5}}{2\sqrt{3}}$$

\frac{\sqrt{5}}{2\sqrt{3}} maxrajini \sqrt{3} orqali surat va maxrajini koʻpaytirish orqali ratsionallashtiring.

$$4\times \frac{\sqrt{5}\sqrt{3}}{2\left(\sqrt{3}\right)^{2}}$$

\sqrt{3} kvadrati – 3.

$$4\times \frac{\sqrt{5}\sqrt{3}}{2\times 3}$$

\sqrt{5} va \sqrt{3} ni koʻpaytirish uchun kvadrat ildiz ichidagi sonlarni koʻpaytiring.

$$4\times \frac{\sqrt{15}}{2\times 3}$$

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

$$4\times \frac{\sqrt{15}}{6}$$

4\times \frac{\sqrt{15}}{6} ni yagona kasrga aylantiring.

$$\frac{4\sqrt{15}}{6}$$

\frac{2}{3}\sqrt{15} ni olish uchun 4\sqrt{15} ni 6 ga bo‘ling.

$$\frac{2}{3}\sqrt{15}$$