=2/sqrt{5}*10/2-1/sqrt{5}*1/2 eching

$$= \frac { 2 } { \sqrt { 5 } } \times \frac { 10 } { 2 } - \frac { 1 } { \sqrt { 5 } } \times \frac { 1 } { 2 }$$

Baholash

$$\frac{19\sqrt{5}}{10}\approx 4,248529157$$

Yechim qadamlari

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

$$\frac{2\sqrt{5}}{\left(\sqrt{5}\right)^{2}}\times \frac{10}{2}-\frac{1}{\sqrt{5}}\times \frac{1}{2}$$

\sqrt{5} kvadrati – 5.

$$\frac{2\sqrt{5}}{5}\times \frac{10}{2}-\frac{1}{\sqrt{5}}\times \frac{1}{2}$$

5 ni olish uchun 10 ni 2 ga bo‘ling.

$$\frac{2\sqrt{5}}{5}\times 5-\frac{1}{\sqrt{5}}\times \frac{1}{2}$$

5 va 5 ni qisqartiring.

$$2\sqrt{5}-\frac{1}{\sqrt{5}}\times \frac{1}{2}$$

\frac{1}{\sqrt{5}} maxrajini \sqrt{5} orqali surat va maxrajini koʻpaytirish orqali ratsionallashtiring.

$$2\sqrt{5}-\frac{\sqrt{5}}{\left(\sqrt{5}\right)^{2}}\times \frac{1}{2}$$

\sqrt{5} kvadrati – 5.

$$2\sqrt{5}-\frac{\sqrt{5}}{5}\times \frac{1}{2}$$

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{\sqrt{5}}{5} ni \frac{1}{2} ga ko‘paytiring.

$$2\sqrt{5}-\frac{\sqrt{5}}{5\times 2}$$

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

$$2\sqrt{5}-\frac{\sqrt{5}}{10}$$

\frac{19}{10}\sqrt{5} ni olish uchun 2\sqrt{5} va -\frac{\sqrt{5}}{10} ni birlashtirish.

$$\frac{19}{10}\sqrt{5}$$