5/6*4/sqrt{10}= eching

$$\frac { 5 } { 6 } \cdot \frac { 4 } { \sqrt { 10 } } =$$

Baholash

$$\frac{\sqrt{10}}{3}\approx 1,054092553$$

Yechim qadamlari

\frac{4}{\sqrt{10}} maxrajini \sqrt{10} orqali surat va maxrajini koʻpaytirish orqali ratsionallashtiring.

$$\frac{5}{6}\times \frac{4\sqrt{10}}{\left(\sqrt{10}\right)^{2}}$$

\sqrt{10} kvadrati – 10.

$$\frac{5}{6}\times \frac{4\sqrt{10}}{10}$$

\frac{2}{5}\sqrt{10} ni olish uchun 4\sqrt{10} ni 10 ga bo‘ling.

$$\frac{5}{6}\times \frac{2}{5}\sqrt{10}$$

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{5}{6} ni \frac{2}{5} ga ko‘paytiring.

$$\frac{5\times 2}{6\times 5}\sqrt{10}$$

Surat va maxrajdagi ikkala 5 ni qisqartiring.

$$\frac{2}{6}\sqrt{10}$$

\frac{2}{6} ulushini 2 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{1}{3}\sqrt{10}$$