5/6:frac{sqrt{10}}{4}= eching

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

Baholash

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

Yechim qadamlari

\frac{5}{6} ni \frac{\sqrt{10}}{4} ga bo'lish \frac{5}{6} ga k'paytirish \frac{\sqrt{10}}{4} ga qaytarish.

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

Surat va maxrajdagi ikkala 2 ni qisqartiring.

$$\frac{2\times 5}{3\sqrt{10}}$$

10 hosil qilish uchun 2 va 5 ni ko'paytirish.

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

\frac{10}{3\sqrt{10}} maxrajini \sqrt{10} orqali surat va maxrajini koʻpaytirish orqali ratsionallashtiring.

$$\frac{10\sqrt{10}}{3\left(\sqrt{10}\right)^{2}}$$

\sqrt{10} kvadrati – 10.

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

Surat va maxrajdagi ikkala 10 ni qisqartiring.

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